Inverse Hamiltonian reduction for affine W-algebras in type A

Thu May 1, 2025 4:30 p.m.—5:30 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

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Seminar: 
Quantum Topology and Field Theory

Event time: 
Thursday, May 1, 2025 - 4:30pm

Location: 
KT 801

Speaker: 
Sujay Nair

Speaker affiliation: 
UC Berkeley

Event description: 
Inverse Hamiltonian reduction refers to a series of conjectural relations between W-algebras corresponding to distinct nilpotent orbits in a Lie algebra. I will outline a proof of this conjecture in type A that relies on novel geometric methods. Along the way, we shall encounter a technique for localising vertex algebras and, time permitting, speak briefly on the deformation theory thereof. To build intuition, I shall focus on the finite type analogue of this story, where such techniques are more commonplace. This talk is based on joint work with Dylan Butson.