Date: Friday, February 11, 2022
Location: 4088 East Hall (3:00 PM to 4:00 PM)
Title: From configurations on graphs to cohomology of M_{2,n}
Abstract: The configuration space of particles on a graph is a classifying space for the graph's braid group and thus computes the group cohomology. If instead one considers compactly supported cohomology the resulting groups depend only on the genus of the graph, or "loop order", and admit a particularly interesting action by Out(F_g). In this talk I will explain how tropical geometry relates these latter representations to the cohomology of the moduli spaces M_{g,n} and discuss computational approaches.
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Speaker: Nir Gadish
Institution: University of Michigan
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