Monday November 18th, 2024 | |
| Time: | 12:30 PM - 1:55 PM |
| Title: | Hopf algebras related to GL_n(Z) |
| Speaker: | Søren Galatius, University of Copenhagen |
| Location: | Math P-131 |
| Abstract: | |
| The general linear group of the integers acts on the symmetric space GL_n(R)/O(n), and the orbit space X_n can be regarded as a "moduli space of real tori". I will discuss recent joint work with Brown, Chan, and Payne (2405.11528) in which we study the compactly supported cohomology of this orbit space using Hopf algebra structures. A certain Hopf algebra of graphs, a version of the Connes--Kreimer Hopf algebra, will be used to deduce lower bounds. | |