UTA Department of Mathematics

GAGA@UTA Seminar
(Geometry And Geometric Analysis)

Date/Time/Room: Thursday (4/6/2006) at 3:00pm in 304 Pickard Hall

Speaker: Ben McReynolds
Department of Mathematics, University of Texas at Austin

"Constructing isospectral locally symmetric manifolds"

Abstract: I will dicuss a construction of locally symmetric, isospectral manifolds which produces a plentiful supply of examples in a wide range of geometries. The method is based on Sunada's work and the construction is probabilistic. The end result is the existence of arbitrarily large sets of pairwise isospectral manifolds and towers of isospectral manifolds over any locally symmetric manifold of noncompact type.