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Liouville theorems for equations on coverings of graphs and manifolds

Presented by: 
P Kuchment [Texas A&M]
Date: 
Tuesday 23rd January 2007 - 16:00 to 17:00
Venue: 
INI Seminar Room 1
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.

University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons