Morningside Seminar on PDE

关于不可压缩Navier-Stokes方程及其相关的不可压缩流体力学方程组整体解的存在性和不存在性,光滑解的爆破机制以及解的奇性机构等一直是流体力学数学理论和非线性偏微分方程的核心课题。 其中关于三维不可压缩Navier-Stokes方程组整体光滑解的存在性或初值是具有限能量的光滑函数,局部光滑解是否在有限时间内爆破是Clay研究所公布的七大千禧年问题之一。这个问题的研究不仅具有深刻的数学意义,同时也具有强烈的应用背景。我们研讨班成员长期以来以不可压缩流体力学方程组作为研究对象并围绕相关内容在晨兴数学中开展相关的系列研讨活动。

The 7th International Congress of Chinese Mathematicians

ICCM2016 will be held from Aug 6 - 11, 2016 in Beijing. It is jointly hosted by AMSS and MCM. It is expected that about 1500 participants will attend the ICCM 2016.


The goal of this workshop is, in the first part, to understand the recent work of Dospinescu-Le Bras and Pan Lue on the geometric realisation of the p-adic local Langlands correspondence for GL2(Qp) and, in the second part, to understand the work of Scholze on the p-adic cohomology of the Lubin-Tate tower and its application to the p-adic Langlands program.

2016 Seminar on Hamiltonian Dynamics

It is based on latest developments in dynamical instability of Hamiltonian systems, viscosity solutions of Hamilton-Jacobi equations and other related fields located at the intersection of dynamical system and calculus of variation. The seminar is hosted by Prof. Cheng Chongqing from Nanjing University and will last from January 7, 2016 to January 30, 2016.

Generalised Kato classes and applications

This lecture series will be devoted to various arithmetic applications of the eponymous cohomology classes of the title, to such questions as the equivariant Birch and Swinnerton-Dyer conjecture, Perrin-Riou's conjecture relating Beilinson elements to rational points on elliptic curves, the theory of Stark-Heegner points, and the construction of explicit Selmer classes on elliptic curves in settings where the underlying Selmer group has rank two.