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08

2023-06

Generic Hecke algebra modules and theta correspondence over finite fields

20

2023-09

nvariance Principle for a Random Walk Among a Poisson Field of Moving Traps

08

2023-06

Bracelets are theta functions for surface cluster algebras

数论与表示论讨论班Number Theory and Representation Theory SeminarTime: June 14, Wednesday, 16:00-17:00Venue: 数学高等研究院Lecture HallSpeaker: 覃帆Fan Qin (Shanghai Jiao Tong University)Title: Bracelets are theta functions for surface cluster algebrasAbstract: The skein algebra of a marked surface possesses the basis of bracelet elements constructed by Fock-Goncharov and Musiker-Schiffler-William...

07

2023-06

全国青教赛参赛与指导经验分享—探索教学与科研的平衡之道

20

2023-09

A New Framework for the Stability Analysis of Perturbed Saddle-point Problems and Applications

报告题目：A New Framework for the Stability Analysis of Perturbed Saddle-point Problems and Applications报告人：洪庆国（宾州州立大学）报告时间：2023年6月12日14:00-16:00报告地点：海纳苑2幢203报告摘要：This talk provides a new abstract stability result for perturbed saddle-point problems which is based on a proper norm fitting. We derive the stability condition according to Babuska’s theory from a ...

21

2023-09

Sharp pointwise convergence on the Schrödinger operator along one class of curves

Title: Sharp pointwise convergence on the Schrödinger operator along one class of curvesSpeaker:曹桢斌（北京师范大学）Time:2023-06-08，9:00-11:00Location:腾讯会议 256787687Abstract:Almost everywhere convergence on the solution of Schrödinger equation is an important problem raised by Carleson, which was essentially solved by Du-Guth-Li and Du-Zhang. In this talk, we discuss pointwise convergence o...

20

2023-09

深度学习中的Adam类算法：收敛性分析以及在双层规划中的应用

报告题目：深度学习中的Adam类算法：收敛性分析以及在双层规划中的应用报告人：胡潇尹（浙大城市学院）报告时间：2023年6月7日（周三）16:00报告地点：海纳苑2幢105摘要：本报告主要关注Adam类方法在求解非光滑优化问题，特别是在训练非光滑的深度神经网络时的收敛性分析。我们提出了一个统一的双时间尺度步长（two-timescale stepsize）的理论框架，应用微分包含（differential inclusion）来分析Adam类方法所产生迭代点的极限性...

21

2023-09

A Nakai-Moishezon type criterion for supercritical deformed Hermitian-Yang-Mills equation

Title: A Nakai-Moishezon type criterion for supercritical deformed Hermitian-Yang-Mills equationAbstract: The deformed Hermitian-Yang-Mills equation is a fully nonlinear elliptic PDE on Kahler manifolds, which can be regarded as the complex analogue of the Lagrangian equation. In this talk, I will present a Nakai-Moishezon type criterion for supercritical deformed Hermitian-Yang-Mills equation, wh...

20

2023-09

An optimal control of a variable-order fractional PDE

报告题目：An optimal control of a variable-order fractional PDE报告人：王宏（南卡罗莱纳大学教授）报告时间：2023年6月5日10:00报告地点：海纳苑2幢102主要内容：Integer-order diffusion partial differential equations (PDEs) were derived under the assumptions that the underlying particle movements have (i) a mean free path and (ii) a mean waiting time, which hold for the diffusive transport of solut...

30

2023-05

School Colloquium：时空几何与波动现象

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