Isaac Newton Institute for Mathematical Sciences

Liouville theorems for equations on coverings of graphs and manifolds

23rd January 2007

Author: Kuchment, P (Texas A&M)

Abstract

Analogs of the classical Liouville theorem concerning analytic or harmonic functions of polynomial growth have been studied in the recent decades in the settings of Riemannian manifolds, complex manifolds, discrete groups, and graphs. The talk will describe the recent progress for the case of periodic equations on abelian coverings, which works simultaneously in all these situations.