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Partial symplectic resolutions of the nilpotent cone via Hamiltonian reduction

Geometric Representation Theory and 3d Mirror Symmetry October 05, 2026 - October 09, 2026

October 05, 2026 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Tom Gannon (University of California, Riverside)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Partial symplectic resolutions of the nilpotent cone via Hamiltonian reduction

Abstract

The symplectic duality program studies varieties with conical symplectic singularities, as well as their partial symplectic resolutions. An ambitious program of Bellamy-Craw-Schedler proposes to classify all such resolutions via their so-called Hamiltonian-Cox space. In this talk, I'll describe progress I've made in this program. In particular, I will explain how, in joint work with Gwyn Bellamy, we carry out this program for one of the cornerstone varieties in the theory: the nilpotent cone of a complex semisimple Lie algebra.

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Partial symplectic resolutions of the nilpotent cone via Hamiltonian reduction

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