Math & Stats Colloquium - Joel Kamnitzer (McGill)
2:30 PM – 3:30 PM
Math & Stats Department Colloquium
Friday, November 1, 2024
Time: 2:30 pm
Place: Jeffery Hall, Room 234
Speaker: Joel Kamnitzer (McGill)
Title: Commutative subalgebras of universal enveloping algebras and moduli spaces of cactus flower curves
Abstract: A classic problem in representation theory is to decompose tensor product representations. I will explain how to do this using Gaudin algebras – certain commutative subalgebras in tensor products of universal enveloping algebras. These commutative subalgebras are parametrized by the Deligne-Mumfordspace of genus 0 curves. I will explain how a modification of this construction leads to a new moduli space, called the moduli space of cactus flower curves, which is closely connected with matroid Schubert varieties.
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