UF Mathematics
Erdos Colloquium

Hyman Bass
February 2001

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Hyman Bass, Michigan

The zeta function of a graph

Room: Little 101
Date: February 16, 2001
Time: 4:00-5:00 p.m.
Cookies and Coffee: at 3:30 in Little Hall 339 (The Atrium)
Bass photo.
Introductory Remarks by Neil Sullivan,
Interim Dean, College of Liberal Arts and Sciences

Abstract:

Spectral geometry relates the geometry of a Riemannian manifold to the spectrum of its Laplacian. A dramatic case of this is furnished by the Selberg zeta function of a Riemann surface, a kind of generating function for prime closed geodesics, whose zeros are related to the spectrum of its Laplacian. The talk will present a combinatorial analogue of this for finite graphs in place of Riemann surfaces. This was first introduced, in the case of regular graphs, by Ihara. The talk will be elementary and essentially self-contained.


Erdös Colloquium * Algebra Seminar by Bass * Teaching Seminar by Bass and Ball
University of Florida * Mathematics * Contact Info

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This page was created January 24, 2001 by Jean Larson and last modified on February 6, 2001.