Back to Departmental Colloquium: Spring 2024
Departmental Colloquium
Date: Tuesday, Jan 9, 2024
Time: 4:00PM - 5:00PM
Location: JWB 335
Note special day
Mathilde Gerbelli-Gauthier
McGill University
Title |
Growth of cohomology in towers of manifolds: a topological application of the Langlands program |
Abstract |
How complicated can successive manifolds get in a tower of covering spaces? Specifically, how large can the dimension of the first cohomology get? We will begin with a tour of possible behaviors for low-dimensional spaces, and then focus on arithmetic manifolds. Specifically, for towers of complex-hyperbolic manifolds, I will describe how to bound the rates of growth using known instances of Langlands functoriality. |
Number Theory