Members' Colloquium

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

How does the dimension of the first cohomology grow in a tower of covering spaces? After a tour of examples of behaviors for low-dimensional spaces, I will focus on arithmetic manifolds. Specifically, for towers of complex hyperbolic manifolds, I will describe how to bound the rates of growth using results from Langlands functoriality.

Date & Time

November 15, 2021 | 2:00pm – 3:00pm

Location

Simonyi Hall 101 and Remote Access

Affiliation

Member, School of Mathematics

Event Series

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