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12

2025-05

几何与拓扑讨论班——The Deformation Problem for Z/2 Harmonic 1-Forms over Kähler Manifolds

报告人：Siqi He(Morningside Center of Mathematics, Chinese Academy of Sciences）Pretalk主题：The Analytic Compactification of SL(2,C) Character Varieties 时间：2025年5月12日，16:15-16:45摘要：In the pretalk, we will introduce Taubes’ work on the analytic compactification of the SL(2,C) character variety of 3- and 4-manifolds from a gauge theory perspective. We will discuss the construction o...

12

2025-05

数论与表示论讨论班—— Positivity of Fourier transform of zonal spherical functions

报告人：余君（北京大学）时间：2025年5月13日，10:30-11:30地点：海纳苑2幢203室摘要：Given a semisimple real linear group, a zonal spherical function is matrix coefficient associated to the unique spherical vector with value 1 at identity element in a unitary spherical principal series, which are important object in representation theory and harminic analysis. Each zonal spherical function is a posit...

07

2025-05

计算与应用讨论班——A stabilized nonconforming finite element method for the surface biharmonic problem

报告人：吴朔男（北京大学）时间：2025年5月7日，14:00-16:00地点：海纳苑2幢203室摘要：This talk presents a novel stabilized nonconforming finite element method for solving the surface biharmonic problem. The method extends the New-Zienkiewicz-type (NZT) element to polyhedral (approximated) surfaces by employing the Piola transform to define the connection of vertex gradients between adjacent elements...

29

2025-04

数论与表示论讨论班——Compactifications of subschemes of integral models of Hodge-type Shimura varieties

报告人：Shengkai Mao（Chinese Academy of Sciences）时间：2025年4月30日，16:00-17:00地点：紫金港校区东7数高院一楼报告厅组织者：Dongwen Liu, Yifeng Liu, Andreas Mihatsch, Binyong Sun摘要：The special fiber of the integral model of a Hodge-type Shimura variety with parahoric level structure admits several natural stratifications that reflect the ...

28

2025-04

几何与拓扑讨论班——Chromatic redshift and Segal conjecture

报告人：Rixin Fang，Fudan UniversityPretalk主题：Introduction to K-theory and Hochschild Homology时间：2025年4月28日，16:15-16:45摘要：We introduce low dimensional K-theory first, and briefly explain Quillen's plus construction. Then we recall the Hochschild homology of an algebra, and its relation with K-theory. If time permits, we give a briefly introduction on stable homotopy theory, and $v...

25

2025-04

数论与表示论讨论班——Integral Hecke correspondences and what I learned from studying them

报告人：Michael Rapoport (University of Bonn)时间：2025年4月25日，11:00-12:00地点：紫金港校区东7数高院一楼报告厅组织者：Dongwen Liu, Yifeng Liu, Andreas Mihatsch, Binyong Sun摘要：I will explain more details of our approach to the problem raised in the colloquium talk. (FYI) Colloquium abstract: Shimura varieties are algebraic varieties o...

24

2025-04

概率统计讨论班——On a pinning model in correlated Gaussian random environments

报告人：宋健（山东大学）时间：2025年4月28日，15:30-17:00地点：海纳苑2幢312报告厅摘要：We consider a pinning model in correlated Gaussian random environments. For the model that is disorder relevant, we study its intermediate disorder regime and show that the rescaled partition functions converge to a non-trivial continuum limit in the Skorohod setting and in the Stratonovich setting, respecti...

21

2025-04

几何与拓扑讨论班——Real Bott periodicity at higher chromatic heights

报告人：Guchuan Li，Peking UniversityPretalk主题：Bott Periodicity and topological K-theory时间：2025年4月21日，16:15-16:45摘要：We will assume Bott Periodicity and use it to define a generalized cohomology theory: topological K-theory.Research Talk主题：Real Bott periodicity at higher chromatic heights时间：2025年4月21日，16:45-17:35摘要：Real Bott periodicity shows that the homotopy groups of Re...

21

2025-04

组合数学讨论班——Burness-Giudici's Conjecture on Bases of Primitive Groups

报告人：杜少飞，首都师范大学时间：2025年4月21日，10:00-11:00地点：海纳苑2幢814摘要：Let G be a permutation group on a set Omega. A subset of O is a base for G if its pointwise stabilizer in G is trivial. By b(G) we denote the size of the smallest base of G. Clearly, every permutation group with b(G)=2 contains some regular suborbits. Let Gamma be the union of all regu...

18

2025-04

几何与拓扑讨论班——Extremals in log-concavity: an algebro-geometric viewpoint

报告人：Jian Xiao，Tsinghua UniversityPretalk主题：Examples on log-concavity时间：2025年4月18日，16:15-16:45摘要：We present several examples on log-concavity in geometry and combinatorics, behind which is the Hodge index theorem.Research Talk主题：Extremals in log-concavity: an algebro-geometric viewpoint时间：2025年4月18日，16:45-17:35摘要：We show how to formulate the extremal problem in log-co...

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