Date: Tuesday, January 30, 2018
Location: 1866 East Hall (3:00 PM to 4:00 PM)
Title: The critical group of a group representation
Abstract: The critical group of a graph is an interesting algebraic invariant that can be realized in multiple ways. One is by thinking of it as the cokernel of the Laplacian matrix of the graph. Another is as a group of equivalences classes under chipfiring of configurations on the graph. Generalizing this notion of chipfiring to a more general class of matrices allows us to define the critical group of a group representation. We will explore some examples of the similarities and differences that arise when studying the critical groups of these two different objects.
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Speaker: Jonathan Gerhard
Institution: University of Michigan
Event Organizer: Trevor Hyde tghyde@umich.edu
