MIT-Harvard-MSR Combinatorics Seminar

Friday, October 28, 2022 at 3:00pm to 4:00pm

Harvard Science Center, Hall A 1 Oxford Street - Cambridge, MA

Speaker:  Eric Katz (OSU)

Title:  The tropical fundamental group


We discuss recent joint work with Kyle Binder on defining the unipotent
fundamental group of tropical varieties. This fundamental group arises
from the Tannakian formalism using tropical vector bundles with integrable
connection. By employing the Orlik–Solomon theorem, we prove that this
computes the unipotent completion of the fundamental group of algebraic
varieties with smooth tropicalization.

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