Contact Info
Combinatorics & Optimization
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext 33038
PDF files require Adobe Acrobat Reader.
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.
Combinatorics & Optimization
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext 33038
PDF files require Adobe Acrobat Reader.
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is co-ordinated within our Office of Indigenous Relations.