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Title: Graph coloring of graphs with large girth is hard for the Nullstellensatz
Speaker: Julián Romero Affiliation: University of Waterloo Zoom: Contact Sharat IbrahimpurAbstract:
In this talk we will discuss a method to solve combinatorial problems using hierarchies of systems of linear equations using Hilbert's Nullstellensatz. In particular, we will study the behaviour of these hierarchies for deciding the non-$k$-colorabilty of graphs.
Title: Sandpiles and representation theory
Speaker: Victor Reiner Affiliation: University of Minnesota Zoom: Contact Karen YeatsAbstract:
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.
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