Speaker: Noah Ruhland (Bayreuth)
Title: On Higher Dimensional Beauville Groups
Abstract:
A Beauville surface is a rigid complex surface obtained as the quotient of a product of two curves by a finite group. These surfaces admit a purely group-theoretic description via a Beauville datum. For this reason, there has been great interest in classifying the groups that admit such structures. In this talk, we explore higher-dimensional generalizations of Beauville surfaces and propose a suitable notion of a Beauville datum in this setting. We present a family of abelian groups that are Beauville in dimension three but not in dimension two, and we raise the question of a general structure theorem for abelian Beauville groups.
This is joint work with F. Fallucca and C. Gleißner.