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2023

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25

2023-09

几何分析讨论班--Rigidity theorems about Q-curvature

报告人：李明翔博士（南京大学）时间：2023年10月10日（星期二）上午10:30-11:30 地点：海纳苑2幢105摘要：In this talk, we will introduce some rigidity theorems on complete and conformally flat manifolds with help of Q-curvature. We introduce a new volume entropy to give a sufficient and necessary condition for the ”normal” metric. Meanwhile, with help of geometric measure theory, we give a di...

25

2023-09

几何分析讨论班--Rigidity theorems about Q-curvature

报告人：李明翔博士（南京大学）时间：2023年10月10日（星期二）上午10:30-11:30 地点：海纳苑2幢105摘要：In this talk, we will introduce some rigidity theorems on complete and conformally flat manifolds with help of Q-curvature. We introduce a new volume entropy to give a sufficient and necessary condition for the ”normal” metric. Meanwhile, with help of geometric measure theory, we give a di...

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

30

2023-05

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...

25

2023-05

Some rigidity theorems on conformal deformation

题目: Some rigidity theorems on conformal deformation报告人：来米加长聘副教授（上海交通大学）时间：6月1日，10:30-11:30地点：海纳苑2幢202摘要: In this talk, I shall discuss some rigidity theorems on conformal deformations. The main discovery here is that on a complete noncompact manifold with suitable curvature assumption, then one cannot increase the Schouten tensor via conformal deformation. The...

04

2023-04

Fully non-linear elliptic equations on compact almost Hermitian manifolds

报告人：黄立鼎（西湖大学）时间：2023年3月10日星期五上午 10:00地点：紫金港校区海纳苑2幢101室摘要: We will talk about a priori estimates for solutions of a general class of fully non-linear equations on compact almost Hermitian manifolds. As an application, we will solve the complex Hessian equation and the Monge--Ampère equation for (n-1)-plurisubharmonic equations in the almost Hermitian setting....

04

2023-04

Random melting skew Young diagram

04

2023-04

Modelling Matrix Time Series via a Tensor CP-Decomposition

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