Sai-Kee Yeung, Purdue University, USA

Infinitesimal deformation, local deformation, and rigidity of tangent bundle of complex two ball quotients

Abstract

In this talk, we study the problem of deformation rigidity of the holomorphic tangent bundle of a compact complex two ball quotient. This is in turn used to study a problem of Kodaira and Morrow about the distinction between infinitesimal and local deformation.