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Schur algebras for matroids
Algebra & Discrete Mathematics| Speaker: | Carl Mautner, UC Riverside |
| Location: | 2112 MSB |
| Start time: | Mon, Feb 2 2026, 11:00AM |
Description
In his 1901 thesis, Issai Schur discovered a finite dimensional algebra that connects the representation theory of the symmetric group and general linear group. Motivated by a geometric description the Schur algebra, Tom Braden and I discovered a family of Schur-like algebras associated to any matroid. Our original description of these algebras was frustratingly opaque. In this talk I will define a new, extended version of these matroidal Schur algebras with a simple presentation by generators and relations. I will highlight two special cases that can be defined purely in terms of more familiar objects, like vector spaces and set partitions, and are related to well-known representation theory and combinatorics.
Carl will be around all Monday and likely Tuesday as well, if you'd like to make an appointment to chat math with him.