Speaker:  Patricia Commins, ICERM, Brown University
Title: Left regular band semigroups with symmetry
Time: 2:30 PM, Monday, October 6, 2025
Place:  Malott 206

Abstract: Left regular bands (or LRBs) are a special family of finite, noncommutative semigroups which appear surprisingly frequently in algebraic combinatorics and discrete geometry. Originally studied for their connections to Markov chains, LRBs have more recently been studied for the rich yet tractable representation theory of their semigroup algebras. Many of the LRBs in the literature come equipped with natural symmetry groups which act by semigroup automorphisms. In such cases, one can study the structure of the invariant subalgebra of the semigroup algebra. In this talk, we will discuss joint work with Benjamin Steinberg which approaches understanding the representation theory of these invariant subalgebras through group-equivariant poset topology.


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