The tropical fundamental group
SEMINARS, HARVARD-MIT COMBINATORICS
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October 28, 2022 3:00 pm - 4:00 pm
Science Center Hall A
Address:
1 Oxford Street, Cambridge, MA 02138
Speaker:
Eric Katz - OSU
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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