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Speaker: Dr. Andy Wilson, Kennesaw State University
Title: “Counting harmonics and racing horses”
Abstract:  We will describe how attempting to count solutions to Laplace's partial differential equation leads to a fundamental result in algebraic combinatorics. Then we will generalize this result from functions to differential forms, ending with the following question: in a race with n horses, how many different finishing orders are possible if ties are allowed? This talk is based on joint work with Satoshi Murai and Brendon Rhoades. It is intended for a broad audience, including undergraduates and non-experts!

 

The Discrete Math Seminar (DMS) is intended for Kennesaw State faculty working in the various areas of algebra, number theory, and discrete mathematics to get together to discuss their current work or related questions. Seminars often involve advanced mathematical knowledge. However, the seminars are open to anyone interested in attending.

 

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