*讲座内容简介：
Various compatibility conditions among replicated copies of operations in a given algebraic structure have appeared in broad contexts in recent years. Taking an uniform approach, this paper gives an operadic study of compatibility conditions for nonsymmetric operads with unary and binary operations, and homogeneous quadratic and cubic rela...
摘要：We would describe various vanishing theorems involving multiplier ideals and give various applications to linear systems, birational geometry and commutative algebra.
*讲座内容简介：
A relation between the finite W-superalgebras and finite W-algebras was found in one of my work joint with Bin Shu. This relation turns out to be very useful in the representation theory of finite W-superalgebras. In this talk I first introduce this rel...
*讲座内容简介：
In this talk, we establish the cohomology of the relative Rota-Baxter operators on Lie-Yamaguti algebras using the Yamaguti cohomology. Then we use this type of cohomology to characterize the deformations of the relative Rota-Baxter operators on Lie-Yamaguti algebras. We show that if two linear or formal deformations of a relative Rota-Bax...
*讲座内容简介：
Derived Algebraic Geometry (DAG) allows us to extend Grothendieck's theory of projectivizations and Grassmannians from sheaves to complexes. This extension proves valuable for constructing and studying moduli spaces, especially in the presence of singularities. In this talk, we discuss the construction and properties of derived projectivizat...
*讲座内容简介：
Geometric quantization on symplectic manifolds plays an important role in representation theory and mathematical physics, deeply relating to symplectic geometry and differential geometry. A crucial problem is to understand the relationship among geometric quantizations associated with different polarizations. In this talk, we will discuss th...
*讲座内容简介：
We will discuss a general construction of the Sugawara operators for the quantum affine algebra of type A. In 2016, we gave an explicit construction of the Sugawara operators in terms of certain traces over a tensor products associated with antisymmetrizers of the Hecke algebra. In this talk, we generalize the construction and construct ce...
*讲座内容简介：
In this talk, we present some studies of elementary abelian p-subgroups of algebraic groups and applications in the Inverse Galois problem, the classification of acceptable Lie groups, the Alperin weight conjecture, etc.
*讲座内容简介：
In this talk, I will formulate the anticyclotomic Iwasawa main conjecture for Rankin-Selberg products of automorphic representations of hermitian type, and state our results. I will then explain the main ingredients of the proof: an Ihara type lemma, Abel-Jacobi image of basic locus, and a bipartite Euler system over the Iwasawa algebra. T...
This is a joint work with Junyi Xie. We prove the Dynamical André-Oort (DAO) conjecture proposed by Baker and DeMarco for families of rational maps parameterized by an algebraic curve. In fact, we prove a stronger result, which is a Bogomolov type generalization of DAO for curves.
*讲座内容简介：
Geometric surface models in the representation theory of finite dimensional algebras have their origin mainly in the theory of cluster algebras and their categorifications. In particular, the representation theory of a class of quadratic monomia...
*讲座内容简介：
In this mini-course, the deformation theory of Ginzburg Calab-Yau algebras is related to negative cyclic homology. We do this by exhibiting a DG-Lie algebra that controls this deformation theory and whose homology is negative cyclic homology. We show that the bracket induced on negative cyclic homology coincides with Menichi's string topo...
I will discuss a proof of a conjecture of almost twentyyears on the modular invariance of (logarithmic) intertwining operators.Let V be a C_2-cofinite vertex operator algebra without nonzero elements of negative weights. The conjecture states that the vector space spanned by pseudo-q-traces shifted by -c/24 of products of (logarithm...
I will discuss recent joint work with X. Huang, H. Xu and Y. Zhi on certain new geometric characterizations of complex projective space using p-form spectra and Bergman kernel.
报告人将根据自己从事雅可比猜想研究18年的经历，总结出来的用代数、几何和分析等基础数学方法的有效结合，给出二维雅可比猜想的证明。这一方法被雅可比问题专家Zbigniew Hajto称为“can be useful in affine algebraic geometry”。在这个报告中，报告人将侧重讲述如何有效利用代数和分析给出多项式映射在无穷远点处的一个重要性质，该性质在二维雅可比猜想的证...
The coadjoint orbit method of Kirillov and Kostant suggests that irreducible unitary representations of a Lie group can be constructed as quantization of coadjoint orbits of the group, which was later reformulated by Vogan in algebro-geometric language for noncompact reductive Lie groups. I will propose an approach to this conjecture...
*讲座内容简介：
We characterize simple smooth modules over some infinite-dimensional Z-graded Lie algebras. More precisely, we prove that if one specific element of a Z-graded Lie algebra L locally finitely acts on a simple L-module V, then V is a smooth L-module. These infinite-dimensional Z-graded Lie algebras include the Virasoro algebra, affine-Virasoro...
Let G be a simply connected semisimple group of rank rover an algebraically closed field. Steinberg has associated to each minimal length Coxeter element an r-dimensional affine space in G,which is a cross-section of all regular conjugacy classes of G. In this talk, we will consider natural analogues of Steinberg’s cross-sections in...
In this talk, we introduce the theory of regular representations of Mobius quantum vertex algebras. Assuming that Mobius quantum vertex algebra V satisfies certain suitable conditions, we obtain a Mobius weak quantum vertex algebra V\otimes V with a nonzero complex z as the parameter. Using this result, we construct a family of V^{op...
Let N be a normal subgroup of a finite group G and V be a fixed finite-dimensional G-module. The Poincare series for the multiplicities of induced modules and restriction modules in the tensor algebra T(V)=⊕_{k≥0}V^{?k} are studied in connection with the McKay-Slodowy correspondence. In particular, it is shown that the closed formu...
A theorem of Ein, Lazarsfeld, Smith and Varolin gave a connection between jumping numbers of multiplier ideals and roots of Bernstein-Sato polynomials of a regular function. I will first talk about a generalization of multiplier ideals, i.e. Hodge ideals, and give an explicit computation of Hodge ideals for some special types of hype...
Recently, Baumann-Kamnitzer-Knutson introduced a remarkable algebra morphism: \bar{D} from C[N] to the field of rational functions C(a_1, ..., a_n), where N is the unipotent radical of a simply laced complex algebraic group and a_i are simple roots, in their proof of a conjecture of Muthiah about MV basis of C[N]. The algebra C[N] an...
In this talk, we will compare the representations, symplectic structures, relative Rota-Baxter operators and the cohomology theory of Lie algebras and the 3-Lie algebras induced by Lie algebras with quasi-trace functions. We introduce a notion of a quasi-trace function on a pre-Lie algebra, which can be used to construct a 3-pre-Li...
报告内容简介：
Quantum affine algebras are quantum enveloping algebras of affine Lie algebras, introduced independently by Drinfeld and Jimbo in their study of the Yang-Baxter equation. Representation theory of quantum affine algebras depends mostly on the Drinfeld realization,
which was announced in 1987. Ding and Frenkel proved the present...
*讲座内容简介：
In this talk, I will introduce the super Yangian Y(m|n) associated to the general linear Lie superalgebra gl(m|n) over a field of positive characteristic. We extend Drinfeld-type presentations of Y(m|n) and the special super Yangian SY(m|n) to positive characteristic. Moreover, the center Z(Y(m|n)) of Y(m|n) is de...
*讲座内容简介：
In this talk, I will introduce the Verma modules for finite W-superalgebra U(g,e) associated with a minimal even nilpotent element, and give a complete isomorphism classification of irreducible modules. Those Verma modules can be further described via parabolic induction from Whittaker modules for osp(1|2) or sl(2...
*讲座内容简介：
Let g be a basic classical Lie superalgebras over an algebraically closed field of p>2, and U_0(g) the restricted enveloping algebra of g. In this talk, we show a U_0(g)-module is projective if and only if it has both a baby Verma module filtration and a twist baby Verma module filtration. Then we show a Humphrey...
Let R be a commutative domain with 1. In this paper, 1-w-cotorsion modules and strongly w_∞-flat modules are introduced and studied. It is shown that an integral domain R is a PVMD if and only if 1-w-cotorsion R-modules are injective if and only if all 1-w-cotorsion R-modules are w-FP-injective. And we show that all w_∞-Matlis co...
*讲座内容简介：
Recall that a ring R is semisimple (resp.pure semisimple) if R is both left and right semisimple (resp. pure semisimple). Here R is left semisimple (resp. left pure semisimple) if all left R-modules are projective (resp. pure projective). Equivalently, if all left R-modules are injective (resp. pure injective). right semisimple(resp.right ...
*讲座内容简介：
iQuantum groups arise from quantum symmetric pairs and can be viewed as a vast generalization of Drinfeld-Jimbo quantum groups. Various fundamental constructions on quantum groups have been generalized to the setting of i-quantum groups. In this m...
*讲座内容简介：
In this talk, we introduce the representations and cohomologies of differential 3-Lie algebras with any weight. Deformations and abelian extensions of differential 3-Lie algebras are interpreted by using lower degree cohomology groups. We also characterize the relationship between the cohomologies of a differential 3-Lie algebra and its as...
*讲座内容简介：
In the talk we will survey constructions of recollements of derived module categories. This is done by introducing exact contexts and their noncommutative tensor products. Special cases of exact contents are Milnor squares and extensions of algebras. Employing exact contexts, we construct universal localizations and characterize the homolo...
*讲座内容简介：
Let M be a manifold, E=TM+T*M and C(E) be the Clifford bundle. The differential forms on M is the spin representation of C(E). The Lie bracket on sections of TM can be extended to sections of the bundle E by defining {e_1,e_2}=[[d,e_1],e_2], where both sides are viewed as operators on differential forms and d is the de-Rham differential op...
11.10 19:00---20:00 腾讯会议：664 349 812
Title: Simple non-weight representations of affine Kac-Moody algebras
Abstract: Let H be a Cartan subalgebra of an affine Kac-Moody algebra without containing the center. We determine all simple modules on the polynomial algebra C[H] for all affine Kac-Moody algebras. Can we c...
For an integrable distribution $F$ in a smooth manifold $M$, we study the Hochschild cohomology of the dg manifold $(F[1],d_F)$ and establish a canonical isomorphism with the Hochschild cohomology of the transversal polydifferential operators of $F$. In particular, we prove that the Hochschild cohomology of the dg manifold associat...
*讲座内容简介：
Given a pair of (real or complex) Lie algebroid structures on a vector bundle A (over M) and its dual A?, we find a line bundle L such that there exist two canonically defined differential operators d and d' on Γ(∧A?L). We prove that the pair (A,A?) constitutes a Lie bialgebroid if and only if the square of D=d+d' is the multiplication...
*讲座内容简介：
Ladders of recollements of abelian categories are introduced, and used to address three general problems. Ladders of a certain height allow to construct recollements of triangulated categories, involving derived categories and singularity categories, from abelian ones. Ladders also allow to tilt abelian recollements, and ladders guarantee ...
*讲座内容简介：
Tensor structure on the representation category of affine Lie algebras plays an important role in representation theory of affine Lie algebras. In a series of work, Kazhdan and Lusztig constructed rigid braided tensor categories of affine Lie algebras at non-positive rational levels, Huang and Lepowsky gave modular tensor category structur...
Toroidal extended affine Lie algebras (EALAs) are a class of important EALAs. In this talk we deal with the classification of irreducible integrable modules for toroidal extended affine Lie algebras with any nullities.
This talk involves some works about the Schur-Weyl-Sergeev duality and its quantum case. Based on the realization of the universal enveloping superalgebra of the queer Lie superalgebra q_n via queer Schur superalgebras, we achieve the integral Schur-Weyl-Sergeev duality. In order to reconstruct the quantum supergroup U_q(q_n) associa...
*讲座内容简介：
In this talk, I will introduce two tools for studying the Gorenstein flat dimension: flat-cotorsion theory and Frobenius pairs, also known as Auslander-Buchweitz contexts. Some applications will be given. This talk is based on a joint work with L. W. Christensen, S. Estrada, P. Thompsom, D.-J. Wu and G. Yang..
Witten deformation is a versatile tool with numerous applications in mathematical physics and geometry. In this talk, we will focus on the analysis of Witten deformation for a family of non-Morse functions, leading to a new proof of the gluing formula for analytic torsions. Then we could see that the gluing formula can be reformulate...
主持人：邹燕清
报告时间：2020年6月6日 14:00-15:00
报告平台：ZOOM会议 ID: 274 175 4144 ，密码：930643
https://cernet.zoom.com.cn/j/2741754144?pwd=TzRiV0gwT2l0NU1CRWtmODlpRUdrZz09
报告人简介：王家军 国家杰出青年获得者
报告内容摘要：
The geometrization theorem implies that the fundamental group of a 3-manifold determines the 3-manifold, except the lens spac...
Abstract: In 1995, Victor Andreevich Toponogov authored the following conjecture: “Every smooth strictly convex and complete classical surface of the type of a plane has an umbilic point, possibly at infinity“. In our talk, we will outline a proof, in collaboration with Brendan Guilfoyle. Namely we prove that (a) the Fredholm index of an associated Riemann Hilbert boundary problem for holomorphi...
Abstract: We use the recent theorem of Chen-Cheng to prove the existence of a family of collapsing cscK metrics on Kahler manifolds with semi-ample canonical bundles. A conjecture about the limiting behavior of these metrics will also be discussed. This is joint work with Wangjian Jian and Jian Song.
Abstract: Flag curvature is the most important quantity in Finsler geometry, because it generalizes the notion of sectional curvature in Riemannian geometry. In this talk I will give a brief introduction to Finsler geometry and discuss some interesting curvature phenomena. In particular, I will prove that when flag curvature reduces to sectional curvature, then either the Finsler metric is Riemann...
Abstract：It plays an important role in geometry and topology of manifolds to study sphere theorems. During the past fifteen years, a number of great achievements on sphere theorems, including the Poincare conjecture, the 1/4-pinching differentiable sphere theorem, and the Willmore conjecture, have been made by several geometers. In this talk, I will discuss recent progress and new techniques deve...
Abstract:
In a landmark paper, Atiyah and Bott showed that the moduli space of flat connections on a principal bundle over an orientable closed surface is the symplectic reduction of the space of all connections by the action of the gauge group. By appealing to polysymplectic geometry, a generalization of symplectic geometry in which the symplectic form takes values in a given vector space,...
摘要： We introduce the q-deformation of stability conditions on Calabi-Yau-X categories, with applications to mirror symmetry and cluster theory.
个人简介： 邱宇2011年毕业于英国巴斯大学，2012-2016年在加拿大和挪威做过博士后。2016-2018年在香港中文大学任研究助理教授，2018年9月到清华丘中心任副教授。他的研究领域是代数表示论及几何拓扑，主要研究Calabi-Yau范畴上的稳定条件空间及其应用，于2016年获得...
Abstract: The Kirillov formula is an important formula in representation theory which represents the character of a representation as an integral over a certain orbit of the group in its coadjoint represention. In 80's, this formula was extended as an index formula with infinitesimal group action by Berline-Vergne and Bismut. In this talk, we will extend this formula to the family version. This is...
abstract：The Milnor Problem (modified) in the theory of group growth asks whether any finite presented group of vanishing algebraic entropy has at most polynomial growth. We show that a positive answer to the Milnor Problem (modified) is equivalent to the Nilpotency Conjecture in Riemannian geometry: given $n, d>0$, there exists a constant $\epsilon(n,d)>0$ such that if a compact Riemannian $n$-m...
Abstract: In mathematics, iterated function system is one of the main schemes in generating fractal sets and measures. In this talk, I will report some recent advances in dimension theory of stationary measures for affine iterated function systems.
Abstract:
We study the dimension of cohomology of semipositive line bundles on complex manifolds, and obtain an asymptotic estimate for the dimension of the space of harmonic (0,q)-forms with values in high tensor powers of a semipositive line bundle when the fundamental estimate holds. We will introduce the background and recent progresses based on arXiv: 1810.09881v1.
Abstract: In this talk, we will talk about steady Ricci solitons with nonnegative sectional curvature and linear scalar curvature decay. In particular, we will give a classification of 3-dimensional steady Ricci solitons with linear decay and positively curved 4-dimensional noncollapsed steady Ricci solitons with linear decay. This is a joint work with Prof. Xiaohua Zhu.
Abstract: The Bar construction for an associative algebra involves the classical cofree coalgebra, with a suitable coderivation. Extending the context to the cate...
报告人简介：唐翔教授是著名非交换几何与Poisson几何专家。他博士毕业于加州大学Berkerley分校，师从著名几何学家Weinstein教授，他现为美国华盛顿大学Saint-Louis分校教授。他的文章发表在一流杂志Crelle, Adv.Math.等国际杂志上，具有巨大的学术影响力。
Abstract:
In this talk, I will report some recent work in progress with Markus Pflaum and Hessel Posthuma about Hochschild homology of proper Lie g...
Abstract: In this talk, I will explain recent progress on Ilmanen's multiplicity-one conjecture for closed smooth embedded mean curvature flow with type I mean curvature. This is joint work with Bing Wang.
Abstract: Q-curvature is a generalization of the Gaussian curvature. In this talk, I will explain about the definition of Q-curvature and some of its properties.
Then I will talk about some problems related to Q-curvature, including the problem of prescribing Q-curvature.
Abstract: Q-curvature is a generalization of the Gaussian curvature. In this talk, I will explain about the definition of Q-curvature and some of its properties.
Then I will talk about some problems related to Q-curvature, including the problem of prescribing Q-curvature.
Abstract: The Ricci flow, introduced by R. Hamilton in 1982, evolves the initial geometry of a given space by the parabolic Einstein equation. One of the most important issues in the study of the Ricci flow is to understand the formation of singularities. It turns out generic singularities of the Ricci flow are essentially modeled by Ricci solitons. In this talk, I will discuss the phenomena of s...
Abstract: The Bonnet-Myers theorem states that an n-dimensional complete Riemannian manifold M with Ricci curvature lower bounded by a positive number (n-1)K is compact, and its diameter is no greater than $\pi/\sqrt{K}$. Moreover, Cheng's rigidity theorem tells that the diameter estimate is sharp if and only if M is the n-dimensional round sphere. In this talk, I will discuss discrete analogues ...
Abstract：In this talk, we will introduce a generalized action integral of both gravity and matter defined on the sphere bundle over Finsler space-time manifold $M$ with a Lorentz-Finsler metric. The Euler-Lagrange equation of this functional, a generalization of the Riemann-Einstein gravity equation with a defined cosmological constant, is obtained by using some divergence theorems. Fibers of the...
A classical isoperimetric inequality by A. D. Alexandrov says that for any simply-connected domain Ω on a surface, L^2>=4π*A-K*A^2, where L is the length of boundary, A the area of Ω, and K the upper bound of Ω's Gaussian curvature. Moreover, "=" holds if and only if Ω is a geodesic ball of constant curvature K. For domains in higher dimensional Riemannian manifolds, ...
摘要： A signed graph G is a graph associated with a mapping σ: E(G) →{+1, -1}. Signed graphs can be used to present surface duals of digraphs embedded in non-orientable surfaces. A signed graph is coverable if each edge is contained in some signed circuit. The edges of a signed circuit in a signed graph corresponds a minimal dependent set in the signed graphic matroid. An oriented signed graph ...
摘要：In this talk we will review two well-known conjectures due to Hopf and S.-T. Yau respectively, and explain their connections via the concept of ``Kaehler hyperbolicity" introduced by Gromov.
Then we shall report our recent work around Kaehler hyperbolic manifolds.
Abstract: Quasi-local mass is a basic notion in General Relativity. Geometrically, it can be regarded as a geometric quantity of a boundary of a 3-dimensional compact Riemannian manifold. Usually, it is in terms of area and mean curvature of the boundary. It is interesting to see that some of quasi-local masses, like Brown-York mass, Hawking mass and isoperimetric mass have deep relation with clas...
报告内容：
Quasi-local mass is a basic notion in General Relativity. Geometrically, it can be regarded as a geometric quantity of a boundary of a 3-dimensional compact Riemannian manifold. Usually, it is in terms of area and mean curvature of the boundary. It is interesting to see that some of quasi-local masses, like Brown-York mass, Hawking mass and isoperimetric mass have deep relation ...
题 目：On the comparison geometry of the Bakry-Emery Ricci curvature
(Some problems in stochastic differential geometry)
报告人：Xiang-Dong Li
School of Mathematical Sciences Fudan University
时间：3月24日(星期二) 下午3:00--4:00
地点：闵行数学楼126室
摘要： We say that a rational map f is regularly ramified if there exists a group G of confromal automorphisms of complex sphere, so that two points p and q of the complex sphere have the same image if and only if there is a group element g in G with g(p)=q. In this talk, we survey some of our recent results on the dynamics of regularly ramified rational maps. These are joint works with Jun Hu ...
摘要：It is shown that the boundary $\partial B$ of any immediate root basin $B$ of $f$ is locally connected. Moreover, $\partial B$ is a Jordan curve if and only if ${\rm deg}(f|_B)=2$. This implies that the boundaries of all components of root basins, for all polynomials' Newton maps, from the viewpoint of topology, are tame. This generalizes Roesch's groundbreaking work (Annals of Math. 2008...
报告人：美国加州大学Davis分校 刘拂博士
题目：Volumes and Ehrhart polynomials of polytopes
时 间: 12月25日（星期四）下午14:00—15:00
地 点：闵行校区数学楼报告厅102
摘 要：We discuss the relationship between the volume and the Ehrhart polynomial of an integral polytope. After a brief introduction to background results in the theory of Ehrhart polynomials, we define a...
The Special Week on Operator Algebras
East China Normal University
June 22--26, 2009, Shanghai, China
Local Contact:
Professor Yifeng Xue.
Email: yfxue@math.ecnu.edu.cn, hlin@uoregon.edu.
Website: http://math.ecnu.edu.cn/academia/Operator_Algebras2009/index.html
Operator Algebras Workshop
Time: August 3rd--August 14th, 2009, Monday, Wednesday, Friday 9:30--11:30 AM
Room: East China Normal University (North Zhongshan Road), Science Building A, Room 1511
校 级 学 术 报 告
《曹锡华数学论坛》讲座
地点：数学楼102报告厅
报告时间：11月20日下午2：00---3：00
报告题目： 《Value Distribution Problems of Meromorphic Functions Related to a Hayman's Conjecture》
演讲人：绍兴文理学院数理信息学院院长王建平教授 （校友）
简历：王建平，1987年毕业于华东师范大学数学系，山东大学理学博士，2003年晋升为教授。现任绍兴文理学院数理信息学...
报告人：Pertti E J Mattila，Professor of University of Helsinki, Math. Dept.
题 目：Geometric measure theory in Heisenberg groups （I）
时 间： 2010年 3月 9 日（周二）
下午 2：30—3：30
地 点： 闵行数学楼102 报告厅
报告人：Pertti E J Mattila，Professor of University of Helsinki, Math. Dept.
题 目：Geometric measure theory in Heisenberg groups （II）
时 间： 2010年3月12日（周五）
下午 2：30—3：30
地 点： 闵行数学楼102 报告厅
报告人： 汝敏 （Houston大学数学教授）
时 间： 2010年7月2日 下午 2:00
题 目： Function properties of complex manifolds.（复流形上的函数性质）
地 点： 闵行数学楼102报告厅
摘 要: In this talk, I'll discuss how properties of functions on (or to) complex manifolds are used to determine the geometric properties of the manifolds, and conversely how some geometr...
报告题目：曹锡华数学论坛：自相似分形集的对称和枚举（ Symmetry and Enumeration of Self-similar Fractals）
时 间： 2010年9月6日 上午10:00am-11:00am
地 点： 闵行校区数学楼102室
报告人： Kenneth Falconer（http://www.mcs.st-andrews.ac.uk/~kenneth/）是英国圣安德鲁斯大学数学系（School of Mathematics and Statistics at the University of St Andrews）教授，在国际上有相当的知名度，他...
韩国Pusan University of Foreign Studies大学教授 In Soo Baek应邀将于2010年8月29日在我校闵行数学楼
102室做学术报告。本次报告内容为“Multifractal and its applications”（重分形及其应用），在这个学术报告中他将详细介绍支撑在康托集上测度的重分形分析相关结果及其若干应用。
题目: Derivations and Lie derivations on Some Operator Algebras
报告人: 华东理工大学数学系 李建奎 教授
时间: 2010年12月29日上午10:00--11:00
地点: 数学楼127室
摘要: In this talk, some results on derivations and Lie derivations will be presented. We consider some linear mappings which can be determined by their acting on some operators. We also study higher derivations ...
报告人：Wing Suet Li 教授 （美国Georgia Institute of Technology）
题目：Intersection of subspaces and Horn inequalities for the eigenvalues of sums of selfadjoint operators
时间：2月28日（周一）下午3点
地点：闵行数学楼102报告厅
摘要： Let A, B, C be n by n selfadjoint matrices. It was conjectured by Horn in 1962 that the relation A+B+C=0 can be characterized by ...
报告人：崔贵珍 研究员（中国科学院数学与系统科学研究院）
时间： 4月4日 上午9:00-10:00
地点： 中山北路校区理科A楼1510室
报告题目：Foldings of polynomials
摘要： We study post-critically finite branched coverings
such that they have a non-peripheral Jordan curve whose pre-image
contains at least two Jordan curves and each of them is homotopic to
its...
报告人：尹永成 教授（浙江大学）
时间： 4月4日 上午10:30-11:30
地点： 中山北路校区理科A楼1510室
报告题目：Regularity of bounded critical Fatou components for polynomials.
摘要：Let $U$ be a bounded critical Fatou component for a polynomial.
(1). If $U$ is attracting and its boundary contains neither parabolic points nor recurrent critical points, then $U$ ...
题目: Spherical derivative and more
报告人: Dr. Shahar Nevo (Bar-Ilan University, Israel)
时间：2011年10月9日 下午13：00-15:00
地点：闵行校区数学楼102报告厅
摘要: We prove that if $\mathcal{F}$ is a family of meromorphic function in a domain $D$ and $\{\rho^\sharp:\rho\in\mathcal{F}\}$ is locally bounded away from zero, then $\mathcal{F}$ is normal. We derive f...
报告题目：The Origins – an Introduction to Operator Algebras
报告人：Richard V. Kadison 教授
时 间： 2012年3月26日（星期一）上午10：00
地 点： 普陀校区理科大楼A510室
摘 要： An introduction to the theory of operator algebras with a mixture of historical and technical discussion.
报告题目：On the Foundations of Murray-von Neumann Algebras
报告人：Richard V. Kadison 教授
时 间： 2012年3月28日（星期三）上午9：30
地 点： 普陀校区理科大楼A510室
摘 要： An introduction to a newly developed subject (though, given a powerful beginning in 1937 by Murray and von Neumann) involving families of unbounded operators affiliated with finite von Neumann algebr...
LOCATION: Science Building A, East China Normal University, Putuo District, Shanghai, China.
SPONSORS: East China Normal University
ORGANIZERS:Huaxin Lin (University of Oregon), Ngai-Ching Wong (National Sun Yat-sen University), Yifeng Xue (East China Normal University), Shuang Zhang (Un...
题目： Lyapunov spectra for alpha-Farey and alpha-Lueroth systems.
时间：2012年8月17日上午10：30－12:00
地点：闵行校区数学系102报告厅
演讲人：Dr. Sara Munday
摘要：We will introduce the alpha-Farey map and its associated jump transformation, the alpha-Lueroth map for an arbitrary countable partition of the unit interval with atoms which ...
题目： Fractal analysis of a class of singular functions arising from the alpha-Farey systems.
时间：2012年8月21日上午10：30－12:00
地点：闵行校区数学系102报告厅
报告人：Dr. Sara Munday
摘要：We will show, for any arbitrary alpha-Farey map, that this map is topologically conjugate to the tent map. Denoting the conjugating homeomorphism by...
Bernd Stratmann教授. 德国不莱梅大学（ University of Bremen Germany ）
8月24日周五 10：30到12点 在102报告厅
题目: From Farey and Gauss to modern dynamical number theory
摘要: The talk reviews some old problems in Elementary Number Theory which go back to Farey, Gauss, Riemann and Minkowski. These involve the Farey- and the Gauss-map, the Riemann Hypothesis and the slippery devi...
Bernd Stratmann教授. 德国不莱梅大学（ University of Bremen Germany ）
8月27日周一 10：30到12点 在102报告厅
题目: Dissipative Phenomena for Kleinian groups
摘要: The talk gives on overview over some recent progress in the study of fractal
phenomena within limit sets of infinitely generated Kleinian groups. This includes a discussionof various subsets of the dissipative l...
Quasiconformal Analysis and Conformal Invariants
A mini-lecture series
Shanshuang Yang
Emory University
Lecture 1: Introduction to Quasiconformal Analysis (10:00-11:30, Dec 31, 2012, Math building
102)
Abstract: In this lecture, we will give a brief introduction to the theory of quasi-
conformal mappings, both in the plane and in higher dimensions. ...
Abstract: Quantum Dimension is the "dimension" of a vertex operator algebra module.
In this talk, I will give the definition of quantum dimensions and discuss the properties of
quantum dimensions. A full Galois theory of vertex operator algebras will be given using
the quantum dimensions. I will also talk a little bit about some other topics related to
vertex operat...
Abstract: Irrational Rotation Algebras had been typical examples of noncommutative
geometry, which can be regarded as a class of noncommutative torus. They
also have their roots in crossed product C*-algebras, and their structures
have been studied with the developments of classification theory for
nuclear simple C*-algebras.
...
摘要：The talk will be an elementary and non-technical introduction to my work on the invariant subspace problem relative to a von Neumann algebra, focusing on the differences between the finite dimensional and infinite dimensional case.
Symplectic property is preserved along the mean curvature ow in Kahler-Einstein surface, which is called Symplectic mean curvature ow . It was proved that there is no nite time Type I singularities for the symplectic mean curva ture ow. In this talk, I will rst review known results and then I will talk about an important Type II sing...
*讲座内容简介：
In this talk, we first introduce geometric quantities for capillary hypersurfaces, and then establish isoperimetric type inequalities, Alexandrov-Fenchel inequalities, by studying corresponding geometric flows. We will also talk about a related Minkowski type problem and other related problems. The talk is based on a joint work with Chao Xia...
While the hexagonal lattice is ubiquitous in two dimensions, the body centered cubic lattice and the face centered cubic lattice are both commonly observed in three dimensions. A geometric variational problem motivated by the diblock copolymer theory consists of a short range interaction energy and a long range interaction energy. In...
We prove that for $n=4$ and $6$, axially symmetric solution to the $\mathbb{Q}$-curvature type problem
$$
\alpha P_n u + c_n \left(1 - \frac{e^{nu}}{\int_{S^n}e^{nu}} \right) = 0
$$
on $S^n$ must be constants, provided that $\frac{1}{2} \le \alpha \le 1$. This result is sharp. The proof is based on two ty...
*讲座内容简介：
This talk is devoted to Hardy inequalities with best constants on Riemannian-Finsler manifolds. I will present the idea how to establish such inequalities by means of curvature on non-compact manifolds as well as on compact manifolds.
Abstract： In this talk, we propose a systematic approach to find the first integrals and Darboux polynomials of nonlinear differential systems. As applications, some new Darboux polynomials of nonlinear models arising in physics, biology, engineering, and fluid mechanics are investigated by this approach. Particularly, a nonintegrable three-dimensional system with non-chaotic behaviors is introdu...
The asymptotics of scalar phase transition models in the limit of vanishing interface width have been widely studied over the past decades. We will talk about some analogous results on phase transition models with high dimensional energy wells such as the matrix-valued Allen-Cahn equation and the isotropic-nematic interface problem i...
In this talk, we consider a type of non-uniformly parabolic problem with nonlocal term. First the classification of the finite-time blow-up/global existence phenomena based on the associated energy functional and explicite expression of all nonnegative steady states are demonstrated. More importantly, we derive that any bounded so...
In this talk, we mainly study non-negative classical solutions to a Neumann initial-boundary value problem for a higher dimensional parabolic elliptic ODE minimal chemotaxis-haptotaxis system. We first show pure haptotaixs cannot induce any blow-up and pattern in any dimensions, showing negligibility of haptotaxis on boundedness. ...
This talk is concerned with the existence and further properties of propagation speeds of transition fronts for bistable reaction-diffusion equations in exterior domains and in some domains with multiple cylindrical branches. In exterior domains we show that all transition fronts propagate with the same global mean speed, which tur...
*讲座内容简介：
In this talk, the compressible non-isentropic Euler equations with combustion reaction are used as the model to study the stability of steady strong detonation waves in a two-dimensional straight duct with constant cross-section. We construct a special solution of strong detonation wave that only depends on the normal direction of the duct...
报告内容简介：
In this talk, we discuss some recent results on Liouville type theorems for steady Navier-Stokes system in a slab with either no-slip boundary conditions or periodic boundary conditions. In particular, we showed that bounded axisymmetric solutions in a slab must be zero or constant. The proofs are based on Saint-Vernant type estimate, which ar...
*讲座内容简介：
Motivated by studies of axially symmetric stationary solutions of the Einstein vacuum equations in general relativity, we study singular harmonic maps from domains of the 3-dimensional Euclidean space to the hyperbolic plane, with bounded hyperbolic distance to extreme Kerr harmonic maps. We prove that every such harmonic map has a unique t...
*讲座内容简介：
In this talk, I will introduce a periodic discrete model to study the dynamics of Wolbachia infection frequency in mosquito populations where infected mosquitoes are impulsively released. This model has three notable characteristics: First, it covers all relevant existing models since 1959 as special cases. Second, it develops with the dev...
*讲座内容简介：
In this talk，I shall introduce a recent result on existence and upper semicontinuity of time-dependent attractors for the non-autonomous nonlocal diffusion equations. This work is jointly with Bin Yang.
*讲座内容简介：
In this talk we introduce some results on the global and local integrability of systems of ordinary differential equations, and the methods used in the study of these problems. The main results are on Darboux and Liouville integrability of polynomial differential systems，and the existence and regularity of local first integrals near singu...
*讲座内容简介：
Since the independence of focal values is a sufficient condition to give a number of limit cycles arising from a center-focus equilibrium, in this paper we consider a restricted independence to a parametric curve, which gives a method not only to increase the lower bound for the cyclicity of the center-focus equilibrium but also to be avai...
*讲座内容简介：
We consider a semilinear elliptic equation in a smooth bounded domain. By using the minimax methods, bifurcation methods, Conley index theory and Morse theory, we obtain six nontrivial solutions for the equations with coercive nonlinearities. This is a joint work with Yutong Chen, Jiabao Su and Mingzheng Sun.
*讲座内容简介：
This talk reports some recent progress in the study of a four-component haptotaxis model describing the process of oncolytic virotherapy, and it is based on several works cooperated with Michael Winkler (Paderborn). The presentation addresses global classical solvability, a critical mass phenomenon for infinite-time blow-up, a borderline v...
*讲座内容简介：
We study the dynamics of two-species competition model in advective, patch environment. Organisms can move between connected patches, and they are also subject to the passive, directed drift from “upper stream” patch to “down stream” patch. A complete understanding is given for the two-patch case. We will mainly discuss three-patch mod...
*讲座内容简介：
In this talk, we study a system of two coupled time-independent Gross-Pitaevskii equations, which is used to model two-component Bose-Einstein condensates with attractive interactions. For a certain type of trapping potentials, especially for the degenerate ring-shaped potentials, we investigate the existence, concentration and local uniquen...
*讲座内容简介：
In the talk, a family of solutions of piecewise constant vorticity to several fluid systems will be introduced. The equations of the contour dynamics under different geometrical situations will be formulated. Those equations are usually nonlinear nonlocal dispersive equations. The global well-posedness of the solutions will be proved un...
*讲座内容简介：
In this talk I will first introduce some qualitative properties of the solutions of the critical Hartree equation, such as the regularity, symmetry, decay estimates, classification and nondegeneracy. Then as an application of the properties, we will apply variational methods and Lyapunov-Schmidt reduction arguments to study the existence, mu...
*讲座内容简介：
Incorporating time delay and Stefan type free boundary into reaction-diffusion equation yields a compatible condition, which guarantees the well-posedness of the initial value problem. Further, under a KPP type setting we establish a dichotomy on propagation or vanishing. When propagation happens, the spreading speed is shown to exis...
*讲座内容简介：
The so-called zero number diminishing property is a property on the solutions to one dimensional parabolic equation, which says that the number of the zeros of a certain solution is non-increasing in time. This property, developed by H. Matano, S. Angenent et al, is a powerful tool in studying the asymptotic behavior of the solutions. Recent...
The classical Moser-Trudinger inequality is a borderline case of Soblolev inequalities and plays an important role in geometric analysis. Aubin in 1979 showed that the best constant in the Moser-Trudinger inequality can be improved by reducing to one half if the functions are restricted to the complement of a three dimensional subs...
This talk reports a recent progress in the study of so-called pursuit-evasion system which describes a fully cross-diffusive interaction mechanism between predators and preys. The system formally possesses two basic entropy-like structures, but the regularity thereby implied seems insufficient to ensure global solvability for large data. We design a suitable thin-fil...
Classic criterion of asymptotic stability requires the condition of negative definiteness of the Liapunov function. In this talk we introduce some new weak criteria for asymptotic stability, which do not require the negative definiteness.
In this talk, we present the joint works with Professor Yuri Trakhinin on the local well-posedness of the free boundary problem in ideal compressible magnetohydrodynamics with or without surface tension. The Rayleigh-Taylor sign condition on the total pressure is required only for the case of zero surface tension.
In this talk, we will introduce the properties of positive solutions to some kinds of the elliptic equation in unbounded cylinder with zero boundary condition. After establishing an Aleksandrov-Bakelman-Pucci maximum principle in unbounded cylinder, the solution spaces can be classified. In particular, we will show that one solution spa...
In this talk, we will discuss some weak dissipative systems, in which loss-regularity phenomenon will occur. Some methods are introduced to prove the local or global well-posedness of these dissipative systems in some weighted Sobolev Space.
*讲座内容简介：
We show Bernstein type results for entire self-shrinking solutions to Lagrangian mean curvature flow in . The proofs rely on a priori estimates and barriers construction. This is a joint work with Prof. Rongli Huang and Wenlong Wang.
*讲座内容简介：
The constructions of Riemann solutions for a second-order traffic flow model derived from a nonlinear Vlasov type kinetic model are displayed in fully explicit forms. In p...
*讲座内容简介：
Of concern is the Fisher-KPP equation on the xy-plane with an “effective boundary condition” imposed on the x-axis. This model, recently derived by Huicong Li and me, is meant to model the scenario of f...
*讲座内容简介：
It is well known that invariant torus with Diophantine frequnecy survives small perturbation, but the one with resonant frequency will be destructed by arbitrarily small perturbation. In this talk, I shall briefly review the result about the top...
*讲座内容简介：
We will first introduce a semi-linear parabolic system that describes the evolution of gene frequencies under the joint action of migration and selection. Then, we will report some recent progress made on the two-allele case with complete dominance...
This talk is concerned with several types of nonlinear Schrodinger equations with differential potentials. We first discuss the variational characteristics for the time-independent Schrodinger equations. Then we establish the sharp con...
*讲座内容简介：
It is well-known that having an appropriate theoretical framework for guiding a study throughout is crucial for high-quality research. In line with the argumentation that the diversity of theories is a rich resource up which the research field could develop more consequently only if the connections between them are actively established, ...
报告人简介：
Marc van Zanten obtained his teaching degree in 1991 with a specialization in mathematics. That same year he started to work as a primary school teacher and enrolled in a master study in Educational Sciences at Utrecht University. In 1994, he g...
报告人简介：
Luc Trouche is professor of didactics of mathematics in the French Institute of Education, at Ecole Normale Supérieure de Lyon (France). He devoted most of his research to analyzing the role of tools in mathematic education (Monaghan, Trouche & Borwein 2016). He is now mainly interested in studying the interactions of teachers with resources, that include and largely exceed, i...
数学教育学术报告
报告人：Prof. Bernard Hodgson
报告人简介：
Bernard Hodgson is the past Secretary-General of The International Commission on Mathematical Instruction (ICMI) during 1999-2009. He is a professor of mathematics and statistics at the Université Laval, Québec, CANADA. He is interested in the influence of information technology on mathematics and its teaching. The ...
数学教育学术报告
报告人：
Dr. Zhonghe Wu (National University, USA)
时间：2010年7月2日 (周五) 上午9:00－10:15
地点：数学系102报告厅
题目：Linking Research to Practice - Classroom Teaching Research Framework Discussion
摘要：
In the talk, Dr. Wu would like to address how to link research to practice by demonstrating a framework that not only include...
数学教育学术报告
报告人：
Dr. Shuhua An (California State University - Long Beach, USA)
时间：2010年7月2日 (周五) 上午10:00－11:30
地点：数学系102报告厅
题目： Using Single-Subject Research in Mathematics Clinic in Teacher Education Program
摘要：
Prof. An will introduce a clinic setting of a remedial and intervention program with specially design...
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