Seminario del 2014

Ottobre
08
2014
J. Souto
Minicorso: Coarse geometry of the Laplacian (3/6)
nell'ambito della serie: TOPICS IN MATHEMATICS 2014/2015
SEMINARIO INTERDISCIPLINARE
The goal of these lectures is to discuss how methods of coarse geometry can be applied to estimate analytic quantities such as the eigenvalues of the Laplacian. As applications I will for instance discuss (1) the recurrence properties of the simple random walk on planar graphs, or (2) prove that every Riemannian manifold whose fundamental group surjects onto a free group admits a tower of covers which forms an expander. To a large extent the methods are rather elementary, although some familiarity with Riemannian geometry should be helpful
organizzato da: Nicola Arcozzi, Giovanna Citti, Stefano Francaviglia nell'ambito del Progetto Fondi U.E. MANET del prof. Giovanna Citti
nell'ambito del Progetto Fondi U.E. MANET del prof. Giovanna Citti.

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