Sai-Kee Yeung, Purdue University, USA

Fake compact Hermitian symmetric spaces

Abstract

A compact locally Hermitian symmetric space of non-compact type is said to be a fake compact Hermitian symmetric space if it has the same Betti numbers as its compact dual.  The simplest examples are fake projective planes in complex dimension two. In this talk we will explain some joint work with Gopal Prasad on classification and constructions of fake compact Hermitian symmetric spaces.  We will also explain some related problems and applications.