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p-Spectra and geometry of compact flat manifolds

Roberto Miatello
Universidad Nacional de Córdoba

Thursday, September 20, 2012
007 Kemeny Hall, 4 pm
Tea 3:30 pm, 300 Kemeny Hall

Abstract: We will compare spectral data (eigenvalues of Hodge Laplacians acting on p-forms) of compact flat manifolds M with geometric and topological properties of M. We will discuss some recent results concerning the p-form spectra and the length spectra (collection of lengths of closed geodesics) on M. We will also show there are compact flat manifolds that are strongly isospectral but have non-isomorphic cohomology rings.

This talk will be accessible to graduate students.