DT invariants of some 3CY quotients

Abstract: Given a finite subgroup of SL3, the corresponding quotient singularity has a natural non-commutative crepant resolution, the skew group algebra. By the result of Ginzburg, this crepant resolution is Morita equivalent to the Jacobian algebra of the McKay quiver equipped with a canonical potential. We will discuss refined DT invariants of such Jacobian algebras for the cases of finite subgroups of SL2 and SO3, where the quotient singularity admits a small crepant resolution and the McKay quiver is symmetric.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

( slides )

Comments: https://us02web.zoom.us/j/87160036709 Meeting ID: 871 6003 6709 Passcode: LAGOON

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Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)

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