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Jeremy Hahn (University of Cambridge)
Wednesday 14 May 2025, 11:45-12:45
Genuine equivariance in the homotopy theory of cyclotomic spectra
- đ¤ Speaker: Jeremy Hahn (University of Cambridge)
- đ Date & Time: Wednesday 14 May 2025, 11:45 - 12:45
- đ Venue: Seminar Room 1, Newton Institute
Abstract
In their foundational paper, Nikolaus—Scholze proved that the category of bounded below genuine cyclotomic spectra is equivalent to the category of bounded below Borel cyclotomic spectra. In this way, they excised the complications of genuine equivariance from the study of topological cyclic homology. I will explain joint work with Devalapurkar, Raksit, and Yuan, which proposes that genuine equivariance still has an essential role to play. Time permitting, I may also discuss how this perspective interacts with the arithmetic duality of Rognes’ talk or the equivariant motivic categories of Bachmann’s talk.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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