Back to Commutative Algebra Seminar: Fall 2019
Commutative Algebra Seminar
Date: Friday, Oct 18, 2019
Time: 2:30PM - 3:20PM
Location: LCB 225
Robert Laudone
University of California, San Diego
Title |
Representation stability for 0-Hecke modules |
Abstract |
The category FI and its variants have been of great interest recently. Being a finitely generated FI-module implies many desirable properties about sequences of symmetric group representations, in particular representation stability. We define a new combinatorial category analogous to FI for the 0-Hecke algebra, denoted by H, indexing sequences of representations of H_n(0) as n varies. We then provide examples of H-modules and use these to discuss some properties finitely generated H-modules possess, including a new form of representation stability and eventually polynomial growth. |
Commutative Algebra