Sai-Kee Yeung, Purdue University, USA

Holomorphic one forms, rational and integral points on complex two ball quotients

Abstract

We study a problem of Borel on existence of holomorphic one forms on some appropriate unramified covers of a complex two ball quotient, and explain its relation to finiteness of rational and integral point on an arithmetic model of such a manifold, which may be compact or non-compact with finite volume.