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Cochains on a circle

Hot Topics: Life after the Telescope Conjecture December 09, 2024 - December 13, 2024

December 10, 2024 (03:30 PM PST - 04:30 PM PST)
Speaker(s): Cary Malkiewich (Binghamton University (SUNY))
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Cochains on a circle

Abstract

This talk will study the cochains on the circle as an E∞-ring in cyclotomic spectra. In particular, its study is largely controlled by studying the free loop space of the p-adic circle BZp. As a consequence, the coassembly map for the TC of the fixed points by a trivial Z-action is usually not an isomorphism.

Suggested references: [BHLS23, §3]

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Cochains on a circle

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