Growth of cohomology in towers of manifolds: a topological application of the Langlands program

Job Candidate Talk
Tuesday, December 5, 2023 - 11:00am for 1 hour (actually 50 minutes)
Skiles 006
Mathilde Gerbelli-Gauthier – McGill University – mathilde.gerbelli-gauthier@mail.mcgill.ca
Alex Dunn

Please Note:

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.