S. K. Yang : Some geometric questions related to fake projective planes and Cartwright-Steger surface

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

April 15, 2015, 4 p.m.

In

SEO 427

Abstract

The smallest positive Euler number of a smooth surface of general type is $3$, which is achieved by the $50$ pairs of fake projective planes and one pair of surfaces with first Betti number $2$, named as Cartwright-Steger surfaces. We would introduce a few topics related to these surfaces, explain some joint work with collaborators and answer some open problems in complex ball quotients and geometry of surfaces.