## University of Sydney Algebra Seminar

# Carl Mautner (University of California, Riverside)

## Friday 1 September, 2:30-3:30pm, Place: Carslaw 375

## From the general linear group to matroids

The Schur algebra is a finite-dimensional algebra that encodes the rich representation theory of the general linear group. Motivated by geometry, Tom Braden and I have defined a similar algebra associated to any graph or, more generally, matroid. After introducing the various objects involved, I will discuss how our work 'categorifies' some combinatorial results about matroids and discuss some new combinatorial questions that it raises.