Seminars & Colloquia Calendar
\(\ell^2\)-homology and Sigma invariants
Sam Hughes (University of Oxford)
Location: Online
Date & time: Tuesday, 20 February 2024 at 4:00PM - 5:00PM
Seminar website: https://sites.google.com/view/rutgersgeometrytopologysem2324/home
Zoom link: https://rutgers.zoom.us/j/91431828633?pwd=NWhGa0FkWjFEWWtQU0ZtcWlnL2lQdz09
Based on joint work with Dawid Kielak. In this talk I will give an overview of two families of invariants of a group: the Sigma invariants encode geometrically information about fibrings of \(G\) over the integers \(\mathbb{Z}\); \(\ell^2\) homology on the other hand is an equivariant homology that accounts for all unitary representations of the group. A classical result of Wolfgang Lück shows that non-vanishing of \(\ell^2\) homology obstructs the existence of mapping tori structures, here we will generalise this result to the BNSR invariants and discuss some of the difficulties that arise.
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Fanxin Wu and Nkhalo Malawo Organizer's website
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Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum
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