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Operator Theory Seminar (309 VAN) - Bin Sun, Ph.D.; University of Oxford
Sep 27, 2022
01:30 PM - 02:30 PM
30 North Dubuque Street, Iowa City, IA 52242
L2-Betti numbers of fiber bundles
Bin Sun, Ph.D.; University of Oxford
We study the L²-Betti numbers of fiber bundles F ? E ? B of manifolds. Under certain conditions (e.g., when F is simply connected), b?(2)(E) can be computed using the twisted L²-Betti numbers of B. We relate the twisted and untwisted L²-Betti numbers of B when p1(B) is locally indicable. As an application, we compute b?(2)(E) when B is either a surface or a non-positively curved 3-manifold. This is a joint work with Professor Dawid Kielak.
Those wishing to attend the seminar via Zoom should use Meeting ID 912 1061 9247.
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