Agnes Beaudry (CU Boulder) The Landweber Exact Functor Theorem
Thu, Nov. 21 2pm (MATH 350)
Andrew Stocker (CU Boulder) Expansive Dynamical Systems
The RSK correspondence is a bijection between permutations (more generally nonnegative integer matrices) and certain pairs of tableaux. I will outline a geometric incarnation of this bijection coming from the representation theory of the general linear group. I will describe the link to the Calogero Moser system of particles on a line and to a conjecture of Bonnafe and Rouquier related to Kazhdan--Lusztig cells of finite reflection groups. This is joint work with Adrien Brochier and Iain Gordon.
Dynamical systems that are expansive form a large class of examples, including all Smale spaces, shift spaces, and finitely presented systems. For Smale spaces it is well known that we can build C*-algebras from the stable, unstable, and homoclinic equivalence relations. However, we wish to extend these constructions to the class of finitely presented systems, for which we will need to use the more refined notion of local conjugacy to study the dynamics. We will be following Klaus Thompsen's work on relatively expansive dynamical systems.