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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 243: Seminar in Functional Analysis
Bin Sun
Michigan State University
$L^2$-Betti Numbers of Dehn fillings
Abstract:
I will talk about recent joint work with Nansen Petrosyan where we studied the behavior of $L^2$-Betti Numbers under group-theoretic Dehn filling, a quotienting process of groups motivated by 3-manifold theory. As applications, we verified the Singer Conjecture for Einstein manifolds constructed from arithmetic lattices of $SO(n, 1)$. Another application appears in my collaboration with Francesco Fournier-Facio where we constructed the first uncountable family of finitely generated torsion-free groups which are mutually non-measure equivalent.
Host: Sri Kunnawalkam Elayavalli
April 8, 2025
11:00 AM
APM 7218
Research Areas
Functional Analysis / Operator Theory****************************
