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代数组
1
短课程:Multiplier ideals, vanishing theorems and applications 2018年12月11日至13日
时间:2018年12月11日(星期二)上午10:00-11:00
   2018年12月11日(星期二)下午13:00-14:00
   2018年12月13日(星期四)下午13:00-14:00
地点:闵行校区数学楼401报告厅

摘要:We would describe various vanishing theorems involving multiplier ideals and give various applications to linear systems, birational geometry and commutative algebra.

主...
2
HIRE: Harmonic Incompatibility REmoval Model for Whole Brain Susceptibility Imaging 4月10日(周 三) 13:00--13:50
摘要:Quantitative susceptibility mapping (QSM) uses the phase data in magnetic resonance signal to visualize a three dimensional susceptibility distribution by solving the magnetic field to susceptibility inverse problem. Due to the presence of zeros of the integration kernel in the frequency domain, QSM is an ill-posed inverse problem. Although numerous regularization based models have been prop...
3
Convolutional Neural Networks for Object Recognition and Classification 4月10日(周 三) 13:50--14:40
摘要:近年来,深度卷积神经网络已经被大量用于解决各种视觉问题,并且在大多数基础任务上(例如目标识别、检测和分割)均取得90%以上甚至超过人类的精度,但大部分停留在实验室研究阶段。在报告中,我们将针对实际应用场景需求,介绍我们的研究工作,包括目标识别和分类。

个人简介:马丽艳,2013年获得北京交通大学计算机科学与技术专业博士学位,2013年7月至2018年9月在中科院微电子所任助理研究员、副研究员。2...
4
Non-weight Modules over algebras related to the Virasoro algebra 2019-5-10 下午 2:00-3:00
报告人简介: 姚裕丰教授,现任上海海事大学文理学院教授,并担任该院主管科研与研究生教育副院长。 他于2010年获得华东师范大学数学博士学位,进入上海海事大学文理学院;先后任副教授,青年教授,教授。
姚裕丰教授主要研究兴趣为李代数表示以及相关的支柱簇/代数簇理论。
数学研究活跃,成果丰富。 自任职以来主持国家自然科学基金青年/面上项目,
以及上海市科学创新项目/自然科学基金项目多项。
...
5
2019年华东师大李理论暑期学校 2019年7月6日至13日
6
Algebraic varieties with automorphism groups of sub-maximal dynamical rank Tuesday, 25.Jun.2019, 10:00--11:00
Abstract: Let X be a normal projective variety of dimension n≥3 and G an abelian subgroup of Aut(X) such that all elements of G\{id} are of positive entropy. Dinh and Sibony proved that G is a free abelian group with rank(G)≤ n-1. The maximal rank case has been well understood by Zhang. We characterize the pair (X, G) such that rank(G) = n-2. This is based on joint work with Fei Hu.
7
Totally invariant divisors of amplified endomorphisms of normal projective varieties Tuesday, 25.Jun.2019, 9:00--10:00
Abstract: This work is encouraged by Professor De-Qi Zhang. We consider an arbitrary int-amplified surjective endomorphism f of a normal projective variety X over C and its f^(-1)-stable prime divisors. We extend the early result for the case of polarized endomorphisms to the case of int-amplified endomorphisms. Assume further that X has at worst Kawamata log terminal singularities. We prove that ...
8
Global generation of k-jets on toric varieties Friday, 21. Jun. 2019, 14:30--15:30
Abstract: In this talk, we give a sharp bound guaranteeing that a line bundle on a projective toric variety is k-jet ample in terms of its intersection numbers with invariant curves. In particular, we show that for any ample divisor L on a projective toric variety X of dimension n>=2, mL is k-jet ample if m is greater or equal to k+n-2.
9
Equivariant Minimal Model Program with a View Towards Algebraic and Arithmetic Dynamics Friday, 21. Jun. 2019, 13:30--14:30
Abstract: We will will elaborate the notion of ‘int-amplified’ endomorphism f of a normal projective variety X, a property weaker than ‘polarized’ yet preserved by products. We will show that the existence of such a single f guarantees that every Minimal Model Program (MMP) is equivariant w.r.t. a finite-index submonoid of the whole monoid SEnd(X) of all surjective endomorphisms of X. Applicat...
10
Irreducible components of Affine Deligne-Lusztig varieties Monday, 17. Jun. 2019, 16:10--17:10
Abstract: The set of irreducible components of an affine
Deligne-Lusztig variety is interesting for many applications related
to Shimura varieties, etc. A natural symmetry group J acts on this
set, and it is desirable to determine the orbits and the stabilizers
of this action. In joint work with Rong Zhou, we prove a formula for
the number of orbits, ea...
11
Arithmetic level raising for unitary groups and Beilinson-Bloch-Kato conjecture Monday, 17. Jun. 2019, 15:00--16:00
Abstract: In this talk, we will introduce the recent progress on Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives of arbitrary rank.
We will discuss an important technique used in the proof, namely, the arithmetic level raising for unitary groups of even rank.
This is based on a joint work with Y. Tian, L. Xiao, W. Zhang, and X. Zhu.
12
Dynamical degrees of self-maps on abelian varieties Friday, 14.Jun.2019, 13:30--14:30
Abstract: Let $X$ be a smooth projective variety defined over an algebraically closed field of arbitrary characteristic, and $f\colon X \to X$ a surjective morphism. The $i$-th cohomological dynamical degree $\chi_i(f)$ of $f$ is defined as the spectral radius of the pullback $f^*$ on the \'etale cohomology group $H^i_{et}(X, \bQ_\ell)$ and the $k$-th numerical dynamical degree $\lambda_k(f)$ as t...
13
Harder-Narasimhan filtration: an approach of slope inequalities 2019年6月6日15:00-16:00
摘要:Harder-Narasimhan filtration is a classic construction in the geometry of vector bundles over curves. In arithmetic geometry, this notion has an analogue in the setting of Euclidean lattices. However, in many situations of arithmetic geometry, lattices in non-Euclidean normed spaces are more intrinsic objects, on which the arithmetic analogue of Harder-Narasimhan theory does not work well. I...
14
Euclidean distance degree and the multiview conjecture 2019-6-6 上午10:00?11:00
报告人简介: Maxim教授博士毕业于美国宾夕法尼亚大学,研究领域是代数拓扑、代数几何和同调代数之间的联系,主要集中在理解几何的奇点和复代数簇的拓扑。近几年的研究成果涉及其它一些有关奇点的领域,包括表示论、组合数学、数论、弦理论和物理。目前为止我总共接受发表46篇文章, 其中绝大多数都发表在世界权威期刊上。研究受美国国家自然科学基金NSF、国家安全局NSA和Simons基金资助。

报告内容简介:The Eucl...
15
On the Langlands Programme and Noncommutative Geometry Monday, 03.Jun.2019, 15:00--16:00
Abstract: In this talk, we would like to introduce how we can connect Langlands programme with noncommutative geometry. Indeed we apply the dual space of reductive Lie groups to construct a link between local Langlands correspondences and the reduced C*-algebras. This is a joint work with Hang Wang.
16
Simple supermodules for Lie superalgebras 2019年5月24日(周五) 15:00-16:00
摘要: A Lie superalgebra is a generalization of a Lie algebra to include
a Z/2-grading. In this talk, we will explain the connection between simple supermodules over
Lie superalgebras and simple modules over their underlying Lie algebras. In particular,
the classification of simple supermodules can be reduced to the classification of simple modules
over the underlyi...
17
Slope inequalities and Miyaoka-Yau type inequality in positive characteristics Wednesday, 22.May.2019, 10:00--11:00

摘要请查看附件      
18
Introduction to fundamental group schemes Friday, 10.May.2019, 14:15--15:15
Abstract: This talk contains two parts. In the first part, I will give a review of various fundamental group schemes from topological fundamental group to fundamental groups schemes over field of arbitrary characteristics, such as Etale fundamental group scheme, Local fundamental group scheme, Nori fundamental group scheme, F-fundamental group scheme and so on. In the second part, I will give a pr...
19
Recent progresses in minimal model theory in characteristic p and some problems Friday, 10.May.2019, 13:15--14:15
Abstract: First I will report the recent progresses in minimal model theory in characteristic p, second I will introduce some open problems in this area, finally I will focus on the effectivity problem, discuss the possible approaches and explain the difficulties.
20
Generalized oscillator representations of the twisted Heisenberg Virasoro algebra 2019年5月10日,11:00-12:00
报告人简介:
赵开明教授,现任加拿大Wilfrid Laurier大学教授。他于1991年获得中国科学院数学博士学位;1994年至1999年任中科院数学与系统科学院副研究员,1999年至2013年任该研究院研究员。
赵开明教授主要研究兴趣为无限维李代数表示理论,是该领域具有影响的数学家。曾入选中科院早期百人计划。并获得大学研究教授荣誉。
报告内容简介:A general result on sufficient conditions for tensor product mo...
21
Representations of quantized enveloping algebra at roots of 1 2019-5-10 上午 10:00-11:00
报告人简介: Toshiyuki Tanisaki教授,日本大阪市立大学荣休教授,国际李理论与表示理论领域著名数学家。他的数学研究成果突出、影响深远。至今仍非常活跃于数学研究。2008年获日本数学会颁发的代数奖。2018年获得日本数学会优秀论文奖。他是日本著名数学家M. Kashiwara的主要合作者之一(Kashiwara教授是代数分析学派奠基人与核心人物,2018年国际数学家大会上获得每四年一届的国际数学家联盟颁发的数学研究终身成就大奖??陈省身...
22
KAM for nonlinear wave equation 7.May.2019, 13:00--14:00
摘要:本报告中考虑Dirichlet边界条件下的一维非线性波动方程。利用KAM理论以及部分标准型,得到大量的n维椭圆不变环面的拟周期解。

报告人简介:上海第二工业大学,副教授。
2011年博士毕业于复旦大学。 研究方向:无穷维哈密顿系统,反转系统KAM理论。研究具有哈密顿结构的PDE方程的有重根情况下KAM环面的存在性,周期,拟周期解等的存在性。在JDE等国际著名学术期刊发表多篇论文。主持和参与3项基金项目。
23
The stability of full dimensional KAM tori for nonlinear Schrodinger equation 7.May. 2019, 9:00--10:00
摘要: In this talk, we will discuss the existence and long time stability the full dimensional invariant tori for 1D nonlinear Schrodinger equation with periodic boundary conditions.

报告人简介:丛洪滋,大连理工大学副教授。2009年博士毕业于复旦大学。研究方向:无穷维哈密顿系统KAM理论和Birkhoff Normal 理论,主要研究哈密顿偏微分方程KAM环面的存在性和长时间稳定性。共发表学术论文8篇,主持...
24
Orbits and representations of Lie type groups over local rings 2019年4月25日下午2:00 - 3:00
摘要:In this talk I would start by introducing classical Deligne--Lusztig theory via concrete examples. Then I discuss its generalisation for reductive groups over discrete valuation rings. In this latter case, besides the Deligne--Lusztig theory one also has a clifford theoretic approach to their representations, using orbits of the Lie algebras; I will report some recent progress concerning the...
25
移动粒子半隐方法的最新进展以及应用 2019年4月23日(周二)上午10:00-11:00
摘要: 近年来在计算流体领域,无网格粒子方法获得越来越多的关注。无网格粒子方法在处理大变形、自由表面以及多相流等问题时具有传统网格方法无法比拟的优点。在众多流行的无网格方法中,移动粒子半隐方法即是其中一种。本次报告将介绍该方法的最新进展,包括新型的高精度数值格式,多相流模型以及基于机器学习的表面张力模型。报告也包括移动粒子半隐方法在多相流模拟以及核反应堆事故分析中的应用。

报告人简介:...
26
Weak quasi-symmetric functions and Rota-Baxter algebras 4月19日下午16:00-17:00
摘要: We introduce the Hopf algebra of quasi-symmetric functions with semigroup exponents generalizing the Hopf algebra QSym of quasi-symmetric functions. As a special case we obtain the Hopf algebra WQSym of weak quasi-symmetric functions, which provides a framework for the study of a question proposed by G.-C. Rota relating symmetric type functions and Rota?Baxter algebras. We show that QSym is...
27
The 4-nodal cubic surface and certain surfaces of general type with geometric genus zero Friday, 19.Apr.2019, 13:30--14:30
Abstract: In this talk, after briefly describing the geometry of the 4-nodal cubic surface, I will introduce the Keum-Naie-Mendes Lopes-Pardini surfaces. I will talk about the bicanonical map, the deformation and moduli of these surfaces.
28
p-adic period domains and their cohomology Wendesday, 17.Apr.2019, 14:15--15:15
Abstract: We will explain work in progress with Colmez, Hauseux and Niziol, describing the compactly supported p-adic étale cohomology of many p-adic period domains. The proof is an adaptation of Orlik's computation of the l-adic cohomology, combined with a vanishing result for extensions between mod p generalized Steinberg representations of p-adic reductive groups.

29
Minimum positive entropy of complex Enriques surface automorphisms Friday, 12.Apr.2019, 13:30--14:30
Abstract: We determine the minimum positive entropy of complex Enriques surface automorphisms. This together with McMullen's work completes the determination of the minimum positive entropy of complex surface automorphisms in each class of Enriques-Kodaira classification of complex surfaces. As in McMullen's work, we finally reduce the problem to computer algebra. In this talk, after recalling kno...
30
On the rigidity problem of families of surfaces of minimal model Thursday, 04.Apr.2019, 15:00--16:00
Abstract: we discuss a criterion for rigid families of projective surfaces of minimal model. We propose a conjecture on the decomposition of fibers of non-rigid families.
31
Perverse sheaves, Lagrangian fibrations, and hyper-Kaehler geometry Friday, 29.Mar.2019, 13:00--14:00
Abstract: The P=W conjecture of de Cataldo, Hausel, and Migliorini relates the topology of Hitchin fibrations to the Hodge theory of character varieties via Simpson’s nonabelian Hodge theory. In recent joint work with Junliang Shen, we proved a compact analog of this conjecture, which relates the topology of Lagrangian fibrations to the Hodge theory of compact hyper-Kaehler manifolds. I will pres...
32
A note on extremal trigonal fibrations on rational surfaces Wendesday, 27.Mar.2019, 10:30--11:30
Abstract: The Picard number of a rational surface equipped with a relatively minimal trigonal fibration is bounded in terms of the genus $g$ of a general fibre. When the Picard number attains the maximum for $g\geq3$, we describe such a fibred surface whose Mordell-Weil group is trivial. This is a joint work with Cheng Gong (Soochow Univ.) and Jun Lu (East China Normal Univ.).
33
AR-sequence of Graded Kronecker modules 2019年3月25日下午14:00-15:00
摘要 We talk about the regular indecomposable modules for the covering of the
Kronecker quiver and their Auslander-Reiten sequences.

邀请人:周国栋

报告人简介: 刘杰2016年硕士毕业于华东师范大学, 导师舒斌教授,现在德国Kiel大学攻读博士学位,导师 Rolf Farnsteiner 教授,现阶段主要研究 Auslander-Reiten 理论
34
Inner Projection and Castelnuovo-Mumford regularity for structure sheaves Friday, 22.Mar.2019, 13:00--14:00
Abstract: Noma developed the inner projection method and gave a classification of projective varieties in a sense. As an important consequence, he established a sharp linear bound for Castelnuovo-Mumford regularity of structure sheaves on smooth projective varieties of arbitrary dimension. I will show how blending Noma’s classification with multiplier ideal theory leads to the same bound for norm...
35
τ-tilting finiteness of two-point algebras 2019年3月20日(星期三)下午14:30至15:30
摘要: τ-tilting theory was introduced by Adachi, Iyama and Reiten, which completes the classical tilting theory from the viewpoint of mutation. They constructed a class of Λ-modules named (support) τ-tilting modules, where Λ is a finite dimensional basic algebra over an algebraically closed field. We call Λ a τ-tilting finite algebra if there are finitely many isomorphism classes of basic τ...
36
Distribution and foliation on moduli spaces of minimal varieties Wendesday, 20.Mar.2019, 13:00--14:00
Abstract: I shall report some progress in a joint project with Steven Lu and Ruiran Sun in the study of a class of distributions on moduli spaces of minimal varieties. The ultimate goal is to show Borel hyperbolicity of those type moduli spaces.
37
Decomposition, E_1 degeneration and Vanishing Theorem 3月18日下午14:00至15:00
摘要: Deligne-Illusie in 80s opened the Hodge theory in positive characteristic, by providing an algebraic and elementary proof of the E_1 degeneration theorem and Kodaira's vanishing theorem over a characteristic zero field. The key result in their work is the so-called decomposition theorem for de Rham complexes. In this talk, I shall report our recent work on the decomposition theorem for inter...
38
BCOV invariant and birational equivalence Friday, 15.Mar.2019, 14:00--15:00
Abstract: The BCOV invariant is an invariant for Calabi-Yau manifolds. In this talk, we extend the BCOV invariant to Calabi-Yau pairs, i.e., a Kahler manifold equipped with a pluricanonical divisor. In certain case, this BCOV invariant is equivalent to an equivariant BCOV invariant introduced by Yoshikawa. Moreover, this BCOV invariant is well-behaved under birational equivalence. We expect that t...
39
On numerical nonvanishing for generalized log canonical pairs Friday, 15.Mar.2019, 13:00--14:00
Abstract: The notion of generalized polarized pairs was introduced by Birkar and Zhang to deal with the effectivity of Iitaka fibration. Its prototype already appeared in the treatment of the canonical bundle formula for elliptic fibrations. The notion has since found more and more applications in solving problems for usual pairs. In the other direction, efforts have been made by several authors t...
40
Hall algebras and i-quantum groups 2019-3-14 下午 13:30-14:30
报告人简介:
王伟强教授任职于美国弗吉尼亚大学数学系,是国际上极具影响力的表示论研究专家。他的重要工作发表在《Inv. Math.》, 《Duke Math. J.》等诸多数学顶级杂志上,总被引次数过千。他还著有Graduate Studies in Mathematics系列第144卷 《Dualities and representations of Lie superalgebras》。同时王伟强教授还担任国际一流数学期刊 《Int. Math. Res. Not.》 的编委。

报告内容简介:
...
41
Birational geometry in the LC cateogory Friday, 08.Mar.2019, 14:00--15:00
Abstract: I will give a brief introduction to the classical theory of birational geometry, in particular the minimal model program(MMP). Singularities play a crucial role in birational geometry and MMP. They are often measured by numbers called log discrepancies, and the “worst” type of singularities for which MMP works are called Log Canonical, or LC for short. I will then discuss some recent p...
42
Scrollar syzygies, scrollar invariants and resolvents Friday, 08.Mar.2019, 13:00--14:00
Abstract: In this talk, we will present some conjectural relations between scrollar syzygy resolution of algebraic curves and the classical theory of resolvents for solving algebraic equations. We will give a Galois theoretic perspective of the syzygy theory. If time permits, some possible number theory applications will also be discussed. This is a joint work with Wouter Castryck.
43
On the fundamental group of the Galois cover of certain algebraic surfaces 01.03.2019, 13:00--14:00
Abstract: Let X be a surface of degree n, which is considered as a branch cover of CP^2 with respect to a generic projection. The surface X has a natural Galois cover with Galois group S_n. In this talk, we will use Moishezon-Teicher’s method to compute the fundamental group of the Galois cover of certain algebraic surfaces that can degenerate to a union of n projective planes such that no thre...
44
Time Stepping Schemes for Fractional Diffusion 2019年2月25日下午4:00-5:00
报告摘要: Over the last decade, a large number of time stepping schemes have been developed for time-fractional diffusion problems.

These schemes can be generally divided into: finite difference type, convolution quadrature type and discontinuous Galerkin methods.

Many of these methods are developed by assuming that the solution is sufficiently smooth, which however i...
45
Reducing Homological Conjectures by n-Recollements 2019年2月20号下午13:30-14:30
摘要: n-recollements of triangulated categories and n-derived-simple algebras are introduced. The relations between the n-recollements of derived categories of algebras and the Cartan determinants, homological smoothness and Gorensteinness of algebras respectively are clarified. As applications, the Cartan determinant conjecture is reduced to 1-derived-simple algebras, and the Gorenstein symmetry ...
46
Lonely Wolf: The legend of Alexander Grothendieck(孤独的狼:数学大师亚历山大?格罗滕迪的传奇人生) 2019年元月4日 10:00--11:00
报告人简介:李信明(Lee Sin-Min)美国圣荷西州立大学退休教授,从事图论代数与数论研究, 迄今已发表论文200多篇。 著有1-8册的《数学和数学家的故事》(香港?角?出版社,中国新?书局,上海科学技术出版社)、《中国数学五千年》(台湾书局)、《数学家?奇》,《李学数讲数学故事》(九章出版社)、散文《梦裹寻她千百度》,《追虹逐梦的年代》(香港天地图书)

报告内容简介:Prof. A. Grothendieck passed away on No...
47
Distributed Optimization from Control Perspective 2019-1-2 10:30-11:30
报告人简介:
Lihua Xie received the B.E. and M.E. degrees in electrical engineering from Nanjing University of Science and Technology in 1983 and 1986, respectively, and the Ph.D. degree in electrical engineering from the University of Newcastle, Australia, in 1992. He was with the Department of Automatic Control, Nanjing University of Science and Technology from 1986 to 1989. Since 1992, h...
48
Almost everywhere convergence of averages 2019年1月2日至10日 10:00-11:00
(1) Colloquium : ? In this first talk we shall describe some general principles in the theory of Lebesgue differentiation, see how the validity in general frameworks of a Lebesgue-type differentiation theorem relates to property of some associated operator, before to focus our attention on the delicate issue of differentiating along rectangles ?.

(2) Lectures : ? After recalling so...
49
Cooperative function 2018-12-28 10:00-11:30
报告摘要:We study a common scenario in industry where returns to scale are nondecreasing and thus full cooperation via pooling all the resources together among related firms is the most efficient way of production. This scenario is usually modelled as a class of cooperative games, referred to as resource pooling games. We argue that resource pooling games could be better understood via directly a...
50
Motivic multiple zeta values of level two 12月26日10:15-11:15

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主持人:谢兵永
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