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February 20, 2018 | 2:00 p.m. - 3:00 p.m.
Category: Seminar
Location: Faculty/Administration #1146 | Map
656 W. Kirby
Detroit, MI 48202
Cost: Free

Speaker:  John Klein, Wayne State University

Title: Variations on a duet of Kirchhoff and Boltzmann, or What I didn't do during my sabbatical in Israel 

Abstract: The Kirchhoff and Boltzmann distributions date back to the nineteenth century, dealing respectively with the flow of electrical current in a circuit and with the distribution of particles in a gas. I will show how both can be derived as a solution to a pair of dual combinatorial Hodge theory problems, where the solution involves the spanning trees and vertices in graph. I will explain how algebraic topology comes in generalizing these distributions to higher dimensions.  I will explain how the latter connects with Reidemeister torsion.

 

 

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For more information about this event, please contact Department of Mathematics at 3135772479 or math@wayne.edu.