Back to Algebraic Geometry Seminar: Fall 2016
Algebraic Geometry Seminar
Date: Wednesday, Aug 31, 2016
Time: 3:30PM - 4:30PM
Location: LCB 222
(special RTG seminar) time: 3:30-4:30pm room: LCB 219
Jenny Wilson
Stanford University
Title |
Representation theory and higher-order stability in the configuration spaces of a manifold |
Abstract |
Let F_k(M) denote the ordered k-point configuration space of a connected open manifold M. Work of Church and others shows that for a given manifold, as k increases, this family of spaces exhibits a phenomenon called homological “representation stability” with respect to the natural symmetric group actions. In this talk I will explain what this means, and describe a higher-order “secondary stability” phenomenon among the unstable homology classes. The project is work in progress, joint with Jeremy Miller. |
Algebraic Geometry