Geometry, Topology and Dynamics Seminar
Yanir Rubinstein
University of Maryland
Positivity in the asymptotic regime
Abstract: A general theme in geometry is the classification of algebraic/differential geometric structures which satisfy a positivity property. In this talk I will propose an ``asymptotic" version of this theme based on joint work with Cheltsov, Martinez-Garcia, and Zhang. On the algebraic side, we introduce the class of asymptotically log Fano varieties and state a classification theorem in dimension 2, generalizing the classical efforts of the Italian school. The novelty here is the use of tools of convex optimization. On the differential side, I will give a conjectural picture for existence of singular Kahler-Einstein , explain progress towards this conjecture, and, time permitting, relations to singular Kahler-Ricci solitons.
Monday November 19, 2018 at 3:00 PM in 636 SEO