Representation Theory and Mathematical Physics Seminar: Matroids, Schur algebras and category O

Seminar | April 23 | 4-5 p.m. | 748 Evans Hall

 Carl Mautner, UC Riverside

 Department of Mathematics

The Schur algebra is a finite dimensional algebra that connects a number of interesting topics, including the modular representation theory of the symmetric and general linear groups and category O. I will discuss joint work with Tom Braden motivated the the theory of symplectic duality in which we introduce a similar algebra for any graph or, more generally, matroid. I will also discuss more recent work in progress with Jens Eberhardt, which relates these `matroidal Schur algebras' to Braden-Licata-Proudfoot-Webster's `hypertoric category O' via categorification.