20

2023-09

Phase transitions with Allen-Cahn mean curvature bounded in Lp.

 Title: Phase transitions with Allen-Cahn mean curvature bounded in Lp. Abstract: We consider the varifolds associated to a phase transition problem whose first variation of Allen-Cahn energy is Lp integrable with respect to the energy measure. We can see that the Dirichlet and potential part of the energy are almost equidistributed. After passing to the phase field limit, one can obtain...

20

2023-09

Sobolev inequalities and regularity of the linearized complex MongeAmp\`ere and Hessian equations

报告人：王嘉项 博士（南开大学），题目：Sobolev inequalities and regularity of the linearized complex MongeAmp\`ere  and Hessian equations摘要：Let $u$ be a smooth, strictly $k$-plurisubharmonic function on a bounded domain $\Omega\in\mathbb C^n$ with $2\leq k\leq n$.In this talk, we will discuss the regularity of solution to the linearized complex Monge-Amp\`ere and Hessian equations when the...

20

2023-09

Loop group action on symplectic cohomology

  

20

2023-09

The Hausdorff dimension of solenoids

  

20

2023-09

The order complex of cosets in a finite group

题目: The order complex of cosets in a finite group报告人: 孟沆洋（上海大学）时间：2023年9月8日上午9:00-11:00地点：紫金港校区海纳楼2幢203 摘要: In this talk, we will introduce some algebraic topology methods on studying the poset(=partial ordered set) of some cosets of a finite group. Let G be a finite group and X be a subgroup of G. We investigate the topological properties of poset C_X(G) o...

20

2023-09

Mimetic Finite Difference Method for Partial Differential Equations

TITLE: Mimetic Finite Difference Method for Partial Differential EquationsSpeaker: Professor Hu Xiaozhe (Tufts University, U.S.A.)ABSTRACT: Numerical simulation of partial differential equation (PDE) models is essential to understand complex applications in science and engineering. When developing discretization methods for solving these PDEs, it is essential to preserve the physica...

20

2023-09

Singularity Type for Kahler-Ricci Flow over Minimal Manifolds

报告人：张州教授（悉尼大学）时间：2023年9月18日 （星期一）下午16:00-17:00 地点：海纳苑2幢102摘要： in this talk, we start by describing the history of the study on this Kahler-Ricci flow, usually considered as the easy-sign version. The degenerate setting has been the main interest for the past 2 decades, following Tian’s Program which was later elaborated as Analytic Minimal Model Prog...

20

2023-09

几何分析讨论班--Mean field type equations and some related problems

报告人：胡烨耀 教授（中南大学）时间：2023年9月25日 （星期一）下午16:00-17:00 地点：海纳苑2幢102摘要：In this talk, we will first review the resolution of the celebrated Chang-Yang’s conjecture on a sharp Moser-Trudinger type inequality on the two-dimensional sphere. Then we recall the complete theory in dimension one and emphasize the key role played by mean field type equations. Moreover, h...

15

2023-08

数学高等研究院特邀报告：Counting Roots of Polynomials

数学高等研究院特邀报告Time: August 21, Monday, 16:00-17:00 Venue: 数学高等研究院Lecture HallSpeaker: 万大庆Daqing Wan (University of California, Irvine)Title: Counting Roots of PolynomialsAbstract: A central theme in algebra and number theory is to count the roots of a polynomial system over a field. In this introductory lecture, we explore the algorithmic aspect of root counting, mostly when the ...

14

2023-07

数论与表示论讨论班

  

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