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Growth of cohomology in towers of manifolds: a topological applica... - Mathilde Gerbelli-Gauthier
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Members’ Colloquium
Topic: Growth of cohomology in towers of manifolds: a topological application of the Langlands program
Speaker: Mathilde Gerbelli-Gauthier
Affiliation: Member, School of Mathematics
Date: November 15, 2021
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.
Topic: Growth of cohomology in towers of manifolds: a topological application of the Langlands program
Speaker: Mathilde Gerbelli-Gauthier
Affiliation: Member, School of Mathematics
Date: November 15, 2021
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.
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