25
2025-03
数论与表示论讨论班——Local intertwining relation for GL(n)
报告人：Hiraku Atobe (Kyoto University) 时间：2025年3月26日，15:00-16:00组织者：Dongwen Liu, Yifeng Liu, Andreas Mihatsch, Binyong Sun地点：紫金港校区东7数高院一楼报告厅摘要：The local intertwining relations for classical groups are the second main local theorem in Arthur’s theory of endoscopic classification. They are identities th...
25
2025-03
分析和微分方程讨论班——Triangles and triple products of Laplace eigenfunctions
报告人：Emmett Wyman（纽约宾汉普顿大学）时间：2025年3月26日，09:30地点：ZOOM（923 5610 7458，密码：160721）摘要：At what frequencies does the product of two Laplace-Beltrami eigenfunctions on a manifold concentrate? Equivalently, given three eigenfunctions, how large is the integral of their product over the manifold? In this talk, we provide a relatively complete answer to this question, and in t...
21
2025-03
几何与拓扑讨论班——The natural flow and the critical exponent
报告人：Shi Wang，ShanghaiTech UniversityPretalk主题：Basics in nonpositive curvature时间：2025年3月24日，16:15-16:45摘要：We review basics in nonpositive curvature.Research Talk主题：The natural flow and the critical exponent时间：2025年3月24日，16:45-17:15摘要：For a complete Riemannian manifold of nonpositive curvature, we introduce a flow. We give an upper bound on the k-Jacobian of the flow i...
21
2025-03
组合数学讨论班——Algebraic Structure of Permutational Polynomials over finite fields
报告人：袁平之教授 （华南师范大学）时间：2025年3月28日上午10:00-11:30地点：海纳苑2幢820会议室摘要：In this talk, we propose some new algebraic structures of permutation polynomials (PPs) over finite fields. As two applications of these new algebraic structures, we give some classes of new PPs over finite fields and answer an open problem raised by Charpin and&nb...
18
2025-03
数论与表示论讨论班——On the cohomology of rational p-adic local systems
报告人：Shizhang Li，Chinese Academy of Sciences时间：2025年3月19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：In p-adic geometry, there are more mysterious rational p-adic local systems than in algebraic/complex geometry, for example, the analytification of P^1 is no long...
17
2025-03
计算与应用讨论班——Reduced over collocation based on residual hyper reduction for steady state and time-dependent nonlinear equations
报告人：纪丽洁，上海大学时间：2025年3月31日，10:30-12:00地点：海纳苑2幢203室摘要：The need for multiple interactive, real-time simulations using different parameter values has driven the design of fast numerical algorithms with certifiable accuracies. The reduced basis method (RBM) presents itself as such an option. RBM features a mathematically rigorous error estimator which drives the constructi...
11
2025-03
几何与拓扑讨论班——Quasimaps to critical loci
报告人：Yalong Cao (Morningside Center of Mathematics, Chinese Academy of Sciences）PretalkTitle:Why critical loci are important 时间：2025年3月10日,16:15-16:45摘要：We review why critical loci are important.Research talkTitle:Quasimaps to critical loci时间：2025年3月10日,16:45-17:35摘要：Critical loci are fundamental objects in geometry, physics and representation theory. In this talk, ...
11
2025-03
数论与表示论讨论班——Unitary Shimura varieties at ramified primes
报告人：Andreas Mihatsch（Zhejiang University）时间：2025年3月12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：A general problem in the theory of Shimura varieties is to understand the geometry mod p of suitable integral models. The purpose of my talk is to discus...
School Colloquium——可压缩流体方程的适定性及极限行为