Geometric Analysis Learning Seminar

from Friday
June 01, 2018 to Monday
December 31, 2018
Show events for:
Instructions for subscribing to Stony Brook Math Department Calendars

Friday
September 07, 2018

4:00 PM - 6:00 PM
P-131 Math Tower
Christina Sormani, CUNY
Compactness Theorems in Riemannian Geometry: Part 1

We will survey compactness theorems for sequences of Riemannian manifolds starting with the early work of Cheeger, Gromov, Anderson and moving towards more modern theorems including theorems by Cheeger-Colding, Wei-Petersen, Wenger, Sormani-Portegies, and recent graduates of the Stony Brook math department: Knox and Perales.


Friday
September 14, 2018

4:00 PM - 6:00 PM
P-131 Math Tower
Christina Sormani, CUNY
Compactness Theorems in Riemannian Geometry: Part II

A continuation of last week's talk: We will survey compactness theorems for sequences of Riemannian manifolds starting with the early work of Cheeger, Gromov, Anderson and moving towards more modern theorems including theorems by Cheeger-Colding, Wei-Petersen, Wenger, Sormani-Portegies, and recent graduates of the Stony Brook math department: Knox and Perales.


Friday
September 21, 2018

4:00 PM - 6:00 PM
P-131 Math Tower
Jingrui Cheng, Stony Brook University
Monge-Ampere equations and their generalizations

I will start with Yau's classical results on Calabi's volume conjecture and the existence of Kahler-Einstein metrics on compact Kahler manifolds when c_1 is nonpositive. These problems can be reduced to the question of solvability of Monge-Ampere type equations on compact Kahler manifolds. I will go through the apriori estimates. If time permits, I will also talk about complex Monge-Ampere equations on bounded domains as well as the existence of constant scalar curvature Kahler metrics.


Show events for:
Instructions for subscribing to Stony Brook Math Department Calendars