Presented by: 
Noah White, University of Edinburgh
Tue 11 Aug, 3:00 pm - 4:00 pm
Building 67, Room 442

The cactus group is a group closely related to the braid group which acts on standard Young tableaux. I will explain what the cactus group is and how this action is defined. I will then explain how this action arises in representation theory (in work of Henriques and Kamnitzer) and geometry (in work of Speyer). One interesting consequence is that the cactus group acts on the Symmetric group and its orbits are exactly the left cells. This provides a link to work of Bonnafe and Rouquier on an alternative description of cell theory for Coxeter groups.