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Presented By: Department of Mathematics

Student Combinatorics Seminar

PĆ³lya theory

I will talk about a beautiful counting principle, called Polya theory, which allows us to count objects up to permutation group actions. Classically, this principle has been studied to count graphs and chemical compounds. Then I will tell you how to think about Polya theory in the language of permutation representations, an extremely useful viewpoint I learned from John Stembridge.

If time permits, I will briefly explain how Polya theory also arises in topology and algebraic geometry, from work in progress for my PhD thesis and (much harder) joint work in progress with Yinan (Nancy) Wang. Speaker(s): Gilyoung Cheong (UM)

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