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03

2024-06

分析和微分方程讨论班——The dichotomy of Nikodym sets and local smoothing estimates for wave equations

报告人：陈铭峰（威斯康星麦迪逊分校）时间：2024年6月12日，16:10-17:10地点：海纳苑2幢202摘要：In this talk, I will talk about maximal operator in the plane. After reviewing some classical results of Bourgain circular maximal theorem and Sogge’s cinematic curvature, I will focus on our result. We classify planar maximal functions: We find all the curves such that Nikodym sets exist, thus the maximal...

03

2024-06

辛拓扑与物理讨论班——Global Kuranishi Charts for Moduli Spaces of Pseudoholomorphic Bordered Riemann Surfaces

报告人：Sam Bardwell-Evans（Institute for Basic Science）时间：2024年6月4日，14:00-16:00地点：海纳苑2幢106室摘要：Moduli spaces of pseudoholomorphic curves, discs, and other bordered Riemann surfaces have been central to symplectic geometry since the works of Gromov and Floer in the 1980s. These moduli spaces are in general highly singular and require some regularization to be useful. One of the m...

27

2024-05

计算与应用讨论班——On Variational and Hemivariational Inequalities in Fluid Mechanics

报告人：Professor Weimin Han, Department of Mathematics,University of Iowa时间：6月4日10:30-12:00地点：海纳苑2幢102摘要：Variational inequalities and hemivariational inequalities arise naturally in fluid mechanics for problems with nonsmooth boundary conditions or for non-Newtonian flows. In this talk, we review early works and present recent/new results on the inequality problems. ...

27

2024-05

分析和微分方程讨论班——A Hormander-type oscillatory integral operator estimate: a bound beyond Stein-Tomas

报告人：甘盛文（助理教授，威斯康辛大学麦迪逊分校）时间：2024年6月12日，14:00-16:00地点：海纳苑2幢202摘要：In this talk, I will introduce the Hormander-type oscillatory integral operator. A classical result of Hormander and Stein gives the (L^\infty, L^p) estimate when p=2(n+1)/(n-1). By adding some additional condition, we prove a (L^\infty, L^q) estimate for some q<2(n+1)/(n-1).联系人：席亚昆...

21

2024-05

表示论与代数讨论班——Galois beyond Galois theory:exploring ambiguity

24

2024-05

Motivic Lefschetz Theorem for twisted Milnor Hypersurfaces

14

2024-05

辛拓扑与物理讨论班——$BV_\infty$ quantization of (-1)-shifted derived Poisson manifolds

报告人：徐平（教授，宾夕法尼亚州立大学）时间：2024年5月28日，14:00-16:00 地点：海纳苑2幢102摘要：In this talk, we will give an overview of (-1)-shifted derived Poisson manifolds in the $C^\infty$-context, and discuss the quantization problem. We describe the obstruction theory and prove that the linear (-1)-shifted derived Poisson manifold associated to any $L_\infty$-algebr...

14

2024-05

分析和微分方程讨论班——关联几何以及它在调和分析中的应用

报告人：曹桢斌（河南省科学院）时间：2024年5月15日，9:30-10:30地点：海纳苑2幢1120摘要：关联几何是一门研究点线，点圆，点和一般曲线的关联关系的学科。这门学科的方法和相关理论在许多方向，诸如调和分析，几何测度论，加性组合里的相关问题研究有重要应用。在这个报告中，我将会介绍关联几何的主要猜想，主要定理，以及主要方法，并介绍它们和调和分析里相关问题的联系。联系人：王梦 (mathdreamcn@zju.edu.cn)

11

2024-05

动力系统讨论班——A regularization theorem for bounded-degree self-maps

报告人：杨舍(北京大学)时间：2024年5月16日（星期四），下午4:00-5:00地点：海纳苑2幢102摘要：We prove that over an algebraically closed field of arbitrary characteristic, a bounded-degree self-map of an irreducible projective variety can be regularized. That is to say, there exists another projective variety birational to the original one such that the bounded-degree self-map become...

11

2024-05

动力系统讨论班——Likely Intersections for Forward Orbits of Curves

报告人：Jit Wu Yap (哈佛大学)时间：2024 年5 月16 日（星期四），下午3:00-4:00地点：海纳苑2 幢102摘要：Let $f,g$ be two polynomials of degree $d > 1$ and let $\varphi = (f,g)$ be the endomorphism acting on $P^1 x P^1$. Given two curves $C$ and $C'$, we expect that the forward iterates of $C...

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