2024年度几何分析研讨班预告(持续更新)

2024-03-01 16:18:41

Geometric Analysis seminar talk list:


1.

Time: 14:00-15:00, Tuesday, January 9

Venue: E4-201

Speaker: Xingzhe Li, Cornell University

Title: Generic Scarring for Minimal Hypersurfaces in Manifolds Thick at Infinity with a Thin Foliation at Infinity

Abstract: In this talk, we present a generic scarring phenomenon for minimal hypersurfaces in a class of complete non-compact manifolds. In particular, for generic metrics on manifolds thick at infinity with a thin foliation at infinity, to each closed stable minimal hypersurface, there exists a sequence of closed minimal hypersurfaces, with area diverging to infinity, that accumulate along the stable hypersurface.


2.

Time: 15:30-16:30Tuesday, January 9

Venue: E4-201

Speaker: Xuan Yao, Cornell University

Title: Applications of level set method in dimension 3

Abstract: In this talk, we introduce some recent developments in the applications of level set method in dimension 3, especially in the study of positive scalar curvature problems.


3.

Time: 10:30-11:30, Friday, January 19

Venue: E4-201

Speaker: Liding Huang, Xiamen University

Title: The stability of generalized Kahler Ricci Flow on toric Fano manifolds

Abstract: To construct canonical metrics and understand existence and moduli problems in generalzized Kahler geometry, Streets-Tian introduce the generalized Kahler-Ricci flow. We will discuss the stability of generalized Kahler Ricci Flow on toric Fano manifolds.


4.

Time: 9:00-10:30, Monday, March 4

Speaker: Jintian Zhu, Westlake University

Title: Positive scalar curvature metrics and aspherical summands

Abstract: In this talk, we consider obstruction for complete positive scalar curvature metrics on the aspherical summands $N\# X$ in dimensions up to five, where is $N$ a closed aspherical manifold and $X$ is an arbitrary non-compact manifold. We start by recalling related backgrounds as well as the slice-and-dice argument by Chodosh and Li, and then we show how to prove our main theorem with their techniques after introducing several essential improvements. This work is joint with Dr. Shuli Chen from Stanford University and Prof. Jianchun Chu from Peking University.

Tecent Meeting: 760 6725 7412

Passcode: 678332