Emerging Topics on Scalar Curvature and Convergence

Organizers: Christina Sormani, CUNY and Mikhail Gromov, IHES

Participants: Michael Eichmair, Bernhard Hanke, Lan-Hsuan Huang, Sajjad Lakzian, Yashar Memarian, Pengzi Miao, Raquel Perales, Jacobus Portegies, Rick Schoen, Guofang Wei

Summary: We addressed the fundamental question of defining a notion of generalized nonnegative scalar curvature on a limit space.

Working Group Report

Public Talks:

Monday

9:00-9:50 Simonyi Hall 101: Christina Sormani: Introduction to Scalar Curvature and Convergence

Video

 

Tuesday

1:30-2:30 Simonyi Hall 101: Misha Gromov Notions of Scalar Curvature

Video

 

3:00-4:00 Simonyi Hall 101: Colloquium by Rick Schoen on Positive Mass Theorem in all Dimensions

 

Wednesday

9:30-10:30 Simonyi Hall 101: Lan Hsuan Huang on Stability of the Positive Mass Thm

Video

 

11:00-12:00 Simonyi Hall 101: Raquel Perales on Limits of Tori with almost Nonnegative Scalar Curvature

 

Thursday

1:30-3:00 Simonyi Hall 101: Colloquium by Bernhard Hanke on Index Theory and Flexibility in Positive Scalar Curvature Geometry

Video

 

Friday

9:30-10:30 Simonyi Hall 101: Brian Allen (USMA) Tori of Almost Nonnegative Scalar curvature

11:00-12:00 Simonyi Hall 101: Jacobus Portegies (Eindhoven) Intrinsic Flat Convergence and Filling Volume

1:30-2:30 Simonyi Hall 101: Sajjad Lakzian (Fordham) on Smooth Convergence Away from Singularities