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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
Derived length of zero entropy groups acting on projective varieties in arbitrary characteristic--A remark to a paper of Dinh-Oguiso-Zhang Friday, 11.Oct.2019, 13:00--14:00
Abstract: Let $X$ be a projective variety of dimension $n\ge1$ over an algebraically closed field of arbitrary characteristic. We prove a Fujiki-Lieberman type theorem on the structure of the automorphism group of $X$. Let $G$ be a group of zero entropy automorphisms of $X$ and $G_0$ the set of elements in $G$ which are isotopic to the identity. We show that after replacing $G$ by a suitable finit...
6
Twisted Vafa-Witten invariants and S-duality Friday, 15.Nov.2019, 1:30--2:30
Abstract: For a real four manifold, the S-duality conjecture of Vafa-Witten (1994) predicts that the S-transformation sends the gauge group SU(r)-invariants counting instantons to the Langlands dual gauge group SU(r)/Z_r-invariants; and both of the invariants satisfy modularity properties. The SU(r)-Vafa-Witten invariants have been constructed by Tanaka-homas using the moduli space of semistable H...
7
Rigidity dimension of algebras 11月13日(周三)下午4: 00-5:00
摘要: A new homological dimension, called rigidity dimension, is introduced to measure the quality of resolutions of finite dimensional algebras (especially of infinite global dimension) by algebras of finite global dimension and big dominant dimension. Upper bounds of this dimension are established in terms of extensions and of Hochschild cohomology. In particular, the rigidity dimension of a no...
8
Stabilization of Hybrid Stochastic Differential Equations by Delay Feedback Controls 2019-11-8 下午3:30--5:00
报告人简介:毛学荣教授是英国斯克莱德大学数学与统计系教授、英国苏格兰皇家学院院士。也是“长江讲座教授” 获得者. 最近他还获得英国沃弗森研究功勋奖。他是国际知名的随机稳定性和随机控制领域的专家,在本学科领域享有很高的声誉, 为现代随机稳定性领域的重要奠基人。 他擅长随机分析,在对随机系统处理方面,提出了系列处理方法与技巧,颇具特色,被广泛采用,在该领域做出了巨大的贡献。例如,对噪声镇定给出了科学的理论,...
9
A-无穷代数的平凡扩张 10月30日(周三)下午1: 00-2:00
摘要:在这个报告中我们首先介绍 A-无穷代数的平凡扩张的一些基本性质;其次我们介绍A-无穷代数的平凡扩张在分次代数的分次Ore扩张的Ext代数中的一些应用。
10
On a central charge c=33 extremal VOA 2019-10-24 (周四)下午 3:00 - 4:00
摘要: In the following papers, J.E. Tener and Z. Wang (https://arxiv.org/abs/1611.04071) J. Connor Grady and J.E. Tener (https://arxiv.org/abs/1811.02180) Tener-Wang and Grady-Tener conjectured an existence of a c=33 extremal VOA.
I will construct such an example and gives an affirmative answer to their conjecture.This is a joint work with Ching Hung Lam.

主持人:焦翔宇
11
A uniform construction of holomorphic VOAs of central charge 24 2019-10-24 (周四) 下午 2:00 - 3:00
摘要: Recently, G. Hoehn has proposed a method for constructing all holomorphic vertex operator algebras in Schellekens' list using the Leech lattice. His idea is in some sense a generalization of the theory of Cartan subalgebras to VOA. The main idea is to study the commutant subVOA of the subVOA generated by a Cartan subalgebra of $V_1$ and try to construct a holomorphic VOA using certain sim...
12
On G-(phi,nabla)-modules over the Robba ring 10月23日 15:00-16:00
报告摘要:In this talk, I will first recall the notion of (phi,nabla)-modules
over the Robba ring (i.e. finite free differential modules over the
Robba ring with a Frobenius structure). I will then explain the p-adic
local monodromy theorem, proven independently by Y. Andre, K. Kedlaya
and Z. Mebkhout in 2000s, which states that every (phi,nabla)-module
over...
13
中俄系统控制论坛系列学术报告之一: Life and works of Yakov Tsypkin - top Russian control theorist 2019-10-21 上午10:30--11:30
报告人简介: Alexander Fradkov1986年于列宁格勒电子技术大学获得控制工程苏联理学博士学位。目前是俄罗斯科学院力学工程研究院”复杂系统控制”实验室主任;圣彼得堡大学国立大学控制论讲席教授,IEEE 会士、IFAC 会士。主要研究领域为非线性与自适应控制,震荡和混沌系统控制以及复杂物理系统控制。Alexander Fradkov教授是随机逼近ODE方法的主要贡献者之一和信息物理融合系统研究领域的开拓者,国际物理控制学会(IPACS)的奠基...
14
Mod p cohomology of modular curves and Shimura curves Friday, 18.Oct.2019, 14:40--15:40
Abstract: Serre remarked that his modularity conjecture could be viewed as part of a mod p Langlands philosophy. Indeed the weak conjecture can be viewed as asserting the existence of a global mod p Langlands correspondence for GL2/Q, and the strong conjecture can be viewed as a local-global compatibility statement. In this talk, I will explain a precise interpretation of this remark provided by E...
15
Bessel functions and Beyond Endoscopy Friday, 18.Oct.2019, 13:30--14:30
Abstract: In this talk, I will first introduce the thesis of Akshay Venkatesh on Beyond Endoscopy for $\mathrm{Sym}^2$ $L$-functions on $\mathrm{GL}_2$ over $\mathbb{Q}$ or a totally real field. The idea follows a suggestion of Peter Sarnak on using the Kuznetsov relative trace formula instead of the Arthur-Selberg trace formula for the Beyond Endoscopy problem. I will then discuss how to generali...
16
随机动态系统的协同估计与控制 10月16日下午13:00
摘要:动态系统的协作算法的收敛性是大规模分布式人工智能的基本理论问题。对带乘性噪声的随机动态网络,建立了随机协同能力与节点动力学、噪声强度和网络结构之间的定量关系。对有限数据率下动态网络的协作能力,给出了存在基于量化观测器的通信协议和基于确定性等价原则的协同控制律的充分条件和必要条件,特别地,针对几类典型系统,建立了一系列“小容量信道定理”,表明对于大规模网络,确实存在给定信道带宽约束下的指数收敛...
17
An affine open covering of the quantized flag manifold at a root of 1. 2019年10月11日(周五)下午3:10--4:10
报告内容简介:
I will show that the quantized flag manifold at a root of 1
is a quasi-scheme (a non-commutative scheme)
in the sense of Rosenberg.
18
Okounkov 凸体的几何与算术 10月11日、14日、15日、16日下午3:00至4:30
主讲人介绍:陈华一教授于2000年获得北京大学学士学位,2006年获得巴黎综合理工大学博士学位,博士指导教师为Jean-Benoît Bost教授。陈华一教授现任职于巴黎大学(原巴黎狄德罗大学)IMJ-PRG 数学研究所,主要的研究方向为代数几何,Arakelov几何,以及丢番图问题。

摘要:Okounkov 凸体是代数几何研究中新近兴起的一个方法,在射影簇上线丛的Hilbert-Samuel 函数的研究中有重要的应用。与传统上同调方法或相交...
19
The role of Nichols algebras in the cohomology of finite-dimensional Hopf algebras 2019年9月26日(周四)上午10:10--11:10
报告人简介:1989年博士毕业于阿根廷科尔多瓦大学,留校工作分别任助理教授、副教授、教授和资深教授,德国洪堡学者,2010年成为阿根廷科学院院士。Andruskiewitsch教授是国际著名的Hopf代数分类学权威专家,是国际该领袖级专家,由于其系列杰出性工作,于2014年在韩国召开的国际数学家大会ICM上应邀做这个领域的45分钟大会报告。他致力于有限维点Hopf代数的分类工作(属于Kaplansky1975年的著名第10猜想问题)、Basic Hopf代数上的...
20
Core of a weakly group-theoretical fusion category 2019年9月26日(周四)上午9:00--10:00
报告人简介:1999年12月博士毕业于阿根廷科尔多瓦大学,留校工作分别任助理教授、独立研究员、副教授、教授和资深教授,德国洪堡学者及洪堡基金会洪堡学术大使。Natale教授是国际知名Hopf代数与张量范畴专家,近年来成为张量范畴研究领域国际领袖级专家,由于其系列杰出性工作,于2018年在巴西召开的国际数学家大会ICM上应邀做这个领域的45分钟大会报告。她致力于一些重要专题:Fusion范畴分类、半单Hopf代数结构分类,在国际SCI刊...
21
On Shimura subvarieties away from the open Torelli locus Monday, 23 Sep. 2019, 13:30-14:30
Abstract: Coleman and Oort conjectured that when the genus g is large enough, every Shimura subvariety in the Siegel modular variety A_g should not be contained generically in the open Torelli locus T_g. We prove this for Shimura subvarieties of unitary type satisfying certain numerical conditions. This is a joint work with K. Zuo and X. Lu.
22
Bogomolov's inequality and related topics Friday, 20.Sep.2019, 16:00--17:00
Abstract: In this talk, I will introduce the recent progress of Bogomolov's inequality in positive characteristic and Bogomolov type inequalities for threefolds. The related applications will be discussed.
23
Full companions of rank-2 periodic Higgs bundles and motivic local systems Friday, 20.Sep.2019, 14:30--16:00
Abstract: In this talk I shall present an arithmetic Simpson correspondence between rank-2 logarithmic periodic Higgs bundles and motivic local systems on hyperbolic affine curves via $p$ to $\ell$ companions conjectured by Deligne and solved by Abe and Drinfeld’s work on Langlands correspondence over function fields. This is a joint work with Raju Krishnamoorthy and Jinbang Yang.
24
GEOMETRIC INVARIANTS FOR REPRESENTATIONS OF RESTRICTED LIE ALGEBRAS 2019-9-19 上午 09:00-10:00
报告人简介:
Rolf Farnsteiner,现任德国基尔大学(Christian-Albrechts-Universit?t zu Kiel)教授。他1982年在汉堡大学获得博士学位。先后任美国Wisconsion大学(Milwaukee)教授,德国Bielefeld大学研究教授, 自2010年起担任德国基尔大学教授。 他是表示理论界重要数学家。研究领域与研究成果广泛。其中,在用代数表示理论方法研究Lie理论的表示及无穷小群概型的表示方面,独树一帜。
报告内容简介:Much of the pr...
25
Singularities of nilpotent Slodowy slices and collapsing levels for W-algebras. 2019-9-11 下午 3:30-4:30
报告人简介:
Anne Moreau,法国里尔大学教授。她是法国国家研究项目the ANR project GeoLie (2015-2019)成员,同时也是法国研究项目the ANR project GERCHER (2010-2014)以及 GDR TLAG, of GDR GAGC and of GDRI Théorie de Représentations的成员。

报告内容简介:
Just as nilpotent orbit closures in simple Lie algebra, nilpotent Slodowy slices play a significant role in representat...
26
4D/2D duality and representation theory 2019-9-11 下午 2:30-3:30
报告人简介:
Tomoyuki Arakawa是京都大学京都解析研究所(Research Institute for Mathematical Sciences (RIMS), Kyoto University, Japan (2010?))教授。他分别在京都大学和名古屋大学接受大学与研究生教育并获得博士学位。他的研究领域主要为表示理论与顶点代数。由于卓越研究成就,获得多项研究奖励。包括 MSJ Takebe Katahiro Special Prize (2004), JSPSYoung Scientist Prize (2008), MSJAlgebra Prize (2013), MS...
27
A Fast Converging Distributed Algorithm for Solving Linear Systems with Diagonal Dominance 2019-09-09 10:30-11:30
报告人简介:Minyue Fu received the B.Sc. degree in electrical engineering from the University of Science and Technology of China, Hefei, China, in 1982, and the M.S. and Ph.D. degrees in electrical engineering from the University of Wisconsin-Madison, Madison, WI, USA. in 1983 and 1987, respectively. From 1987 to 1989, he was an Assistant Professor in the Department of Electrical and Computer Engi...
28
2019年华东师大李理论暑期学校 2019年7月6日至13日
29
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.
30
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 ...
31
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.
32
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...
33
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...
34
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.
35
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...
36
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...
37
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...
38
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.
39
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...
40
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      
41
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...
42
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.
43
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...
44
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...
45
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。
46
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...
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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...
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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:...
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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...
50
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.
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