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Algebraic Combinatorics Seminar - Victor ReinerExport this event to calendar

Thursday, June 18, 2020 — 2:30 PM EDT

Title: Sandpiles and representation theory

Speaker: Victor Reiner
Affiliation: University of Minnesota
Zoom: Contact Karen Yeats

Abstract:

For an undirected graph, its sandpile group is an interesting isomorphism invariant-- it is a finite abelian group that describes the integer cokernel of the graph's Laplacian matrix. This talk will discuss joint work with G. Benkart and C. Klivans examining an analogous invariant for a complex representation of a finite group, built from what one might call its "McKay matrix".  We will then discuss work with D. Grinberg and J. Huang which generalizes this to modules over finite-dimensional Hopf algebras.

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