Friday September 07, 2018 4:00 PM  6:00 PM P131 Math Tower
 Christina Sormani, CUNY
Compactness Theorems in Riemannian Geometry: Part 1We 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 CheegerColding, WeiPetersen, Wenger, SormaniPortegies, and recent graduates of the Stony Brook math department: Knox and Perales.

Friday September 14, 2018 4:00 PM  6:00 PM P131 Math Tower
 Christina Sormani, CUNY
Compactness Theorems in Riemannian Geometry: Part IIA 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 CheegerColding, WeiPetersen, Wenger, SormaniPortegies, and recent graduates of the Stony Brook math department: Knox and Perales.

Friday September 21, 2018 4:00 PM  6:00 PM P131 Math Tower
 Jingrui Cheng, Stony Brook University
MongeAmpere equations and their generalizationsI will start with Yau's classical results on Calabi's volume conjecture and the existence of KahlerEinstein metrics on compact Kahler manifolds when c_1 is nonpositive. These problems can be reduced to the question of solvability of MongeAmpere type equations on compact Kahler manifolds. I will go through the apriori estimates. If time permits, I will also talk about complex MongeAmpere equations on bounded domains as well as the existence of constant scalar curvature Kahler metrics.

