Columbia Geometry & Analysis Seminar

Spring 2022

The Columbia Geometry/Analysis Seminar takes place in 312 Mathematics Hall on Fridays at 1pm - 2pm.

If you want to join the mailing list, please write to Florian Johne, johne@math.columbia.edu.

 

 

Next talk:

Friday, April 29: Sven Hirsch (Duke University)

Title of talk: Rigidity of the spacetime positive mass theorem

 
Abstract:
One of the central results in mathematical relativity is the positive mass theorem which has first been proven by Schoen-Yau using minimal surfaces, and Witten using spinors. We show how the level-sets of spacetime harmonic functions can be used to give a new proof of the spacetime positive mass theorem. Moreover, we demonstrate how this technique leads to an optimal rigidity statement. This talk is based on joint work with Demetre Kazaras, Marcus Khuri and Yiyue Zhang.
 
 
Schedule of talks this semester

Dates marked by an asterix* will be on Zoom
 
February 11* Stefan Steinerberger (University of Washington, Seattle)
Growth of Laplacian Eigenfunctions
February 18 Renato Bettiol (City University of New York)

Four-dimensional Ricci flow and sectional curvature
February 25* Riccardo Tione (MPI Leipzig)
Non-Classical Solutions to the p-Laplace Equation
March 04 Thomas Beck (Fordham University)
A variant of the Friedland-Hayman inequality
March 11 Robin Neumayer (Carnegie Mellon University) Convergence and regularity theorems for entropy and scalar curvature lower bounds
March 18 Spring break  
March 25 Pei-Ken Hung (University of Minnesota) Toroidal positive mass theorem
April 01* Kyeongsu Choi (Korea Institute of Advanced Study)

Ancient mean curvature flows that lie on one side of shrinkers

 
April 08 Nick Edelen (University of Notre Dame)
Degeneration of 7-dimensional minimal hypersurfaces with bounded index
April 15 Gary Lawlor (Brigham Young University) The standard cluster of three equal soap bubbles is area-minimizing
April 22 Connor Mooney (UC Irvine) Some regularity questions for the special Lagrangian equation
April 29 Sven Hirsch (Duke University)
Rigidity of the spacetime positive mass theorem