Department of Mathematics,
University of California San Diego
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Math 211A: Seminar in Algebra
Prof. Dan Kaplan
CSU Long Beach
Classifying symplectic resolutions
Abstract:
Symplectic resolutions arise in representation theory (Springer resolution), algebraic geometry (Hilbert--Chow morphism), and mathematical physics (3D mirror symmetry). There is a program to classify all possible symplectic resolutions of a given singularity. This classification simplifies when the singularity is conical, as it suffices to resolve any neighborhood of the cone point.
In ongoing work with Travis Schedler, we extend the perspective beyond conical singularities. Surprisingly, local resolutions of conical neighborhoods extend and glue uniquely to a global resolution, provided they are monodromy-free and chosen compatibly.
Host: Lucas Buzaglo
June 1, 2026
3:00 PM
APM 7321
Research Areas
Algebra****************************
