A Higher-Dimensional Sandpile Map (note the unusual time/day)

Combinatorics Seminar
Wednesday, September 30, 2020 - 3:30pm for 1 hour (actually 50 minutes)
https://bluejeans.com/751242993/PASSWORD (To receive the password, please email Lutz Warnke)
Alex Mcdonough – Brown University – https://www.math.brown.edu/~amcd/
Lutz Warnke

Traditionally, the sandpile group is defined on a graph and the Matrix-Tree Theorem says that this group's size is equal to the number of spanning trees. An extension of the Matrix-Tree Theorem gives a relationship between the sandpile group and bases of an arithmetic matroid. I provide a family of combinatorially meaningful maps between these two sets.  This generalizes a bijection given by Backman, Baker, and Yuen and extends work by Duval, Klivans, and Martin.

Please note the unusual time/day.