February 18, 2026, 10:30 am EST (9:30 am Central/16:30 pm Paris/11:30 pm Beijing)
Speaker: Ryo Toyota (Texas A&M University)
Title: Higher Index Theory for Relatively Hyperbolic Groups
Abstract: Higher index theory extends the Atiyah-Singer index theorem to non-compact manifolds and is closely related to scalar curvature and operator algebras. A central tool in this framework is the coarse Baum-Connes conjecture, which claims an algorithm for computing higher indices. In this talk, we will introduce a twisted version of the coarse Baum-Connes conjecture and show that it enjoys stronger permanence properties, such as under taking subspaces and finite unions. Then we apply this machinery to show that for a relatively hyperbolic group, it satisfies the twisted coarse Baum-Connes conjecture if and only if each peripheral subgroup does.
March 04, 2026, 10:30 am EST (9:30 am Central/16:30 pm Paris/11:30 pm Beijing)
Speaker: Mathias Braun (EPFL)
Abstract: TBD
March 18, 2026, 10:30 am EST (9:30 am Central/16:30 pm Paris/11:30 pm Beijing)
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April 01, 2026, 10:30 am EST (9:30 am Central/16:30 pm Paris/11:30 pm Beijing)
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April 15, 2026, 10:30 am EST (9:30 am Central/16:30 pm Paris/11:30 pm Beijing)
Speaker: Hunter Stufflebeam (Johns Hopkins University)
Abstract: TBD
April 29, 2026, 10:30 am EST (9:30 am Central/16:30 pm Paris/11:30 pm Beijing)
Speaker: Argam Ohanyan (University of Toronto)
Abstract: TBD