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Cyclotomic redshift

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

December 11, 2024 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Shai Keidar (The Hebrew University of Jerusalem)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Cyclotomic redshift

Abstract

In this talk we prove that T(n + 1)-localized algebraic K-theory satisfies descent for π-finite p-group actions on stable ∞-categories of chromatic height up to n. As a consequence, we use this to show that cyclotomic extensions “redshift” and to present cyclotomic completion of a T(n + 1)-localized algebraic K-theory as an co-assembly map.

Suggested references: [BCSY23]

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Cyclotomic redshift

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