Matrix factorizations of some discriminants

Abstract: In this talk, we consider discriminants of complex reflection groups. We identify certain matrix factorizations, whose corresponding Cohen-Macaulay modules give a noncommutative resolution of the discriminant. We will in particular consider the family of pseudo-reflection groups G(r,p,n), for which one can explicitly determine these matrix factorizations that are indexed by partitions, using higher Specht polynomials (work in progress with Colin Ingalls, Simon May, and Marco Talarico).

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

( slides )

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Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)

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