Genuine equivariance in the homotopy theory of cyclotomic spectra

Add to your list(s) Download to your calendar using vCal

• Jeremy Hahn (University of Cambridge)
• Wednesday 14 May 2025, 11:45-12:45
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact nobody.

EHTW03 - New horizons for equivariance in homotopy theory

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.