|Date: Friday, November 17, 2017
Location: 4088 East Hall (4:10 PM to 5:00 PM)
Title: Robinson-Schensted-Knuth via quiver representations
The Robinson-Schensted-Knuth correspondence is a multi-facetted jewel of algebraic combinatorics. I will explain a version of RSK which sends arbitrary labellings of a minuscule poset by non-negative integers to order-preserving labellings. This map can be described in terms of quiver representations. It can also be used to give a uniform explanation of the periodicity of a certain promotion operator on the order-preserving labellings of the poset, by relating promotion to Auslander-Reiten translation. I shall not assume familiarity with quiver representations in my talk. This is joint work with Al Garver and Becky Patrias.
Speaker: Hugh Thomas