Growth of Cohomology in Towers of Manifolds: Topology meets the Langlands Program
Modern Math Workshop 2022 October 26, 2022 - October 27, 2022
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
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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.