University of Connecticut

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Algebra Seminar
Kazhdan-Lusztig polynomials of matroids
Tom Braden (University of Massachusetts, Amherst)

Wednesday, March 6, 2019
11:15am – 12:05pm

Storrs Campus
Monteith, 313

Elias, Proudfoot and Wakefield defined a polynomial invariant of matroids which they dubbed "Kazhdan-Lusztig polynomials". The name comes because they are analogous to the classical Kazhdan-Lusztig polynomials for reflection groups. Just as the classical KL polynomials can be interpreted as the local intersection cohomology Poincare polynomial of a Schubert variety (at least when the reflection group is a Weyl group of a semisimple Lie group), when a matroid is realizable by a finite set of vectors, its KL polynomial arises from the local IH of an associated singular variety. I will discuss various results and conjectures concerning these polynomials, including work in progress with Huh, Matherne, Proudfoot and Wang.

Contact:

Mihai Fulger, mihai.fulger@uconn.edu

Algebra Seminar (primary), UConn Master Calendar

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