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Trace methods beyond connective rings

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

December 10, 2024 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Kathleen Ponto (University of Kentucky)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

This talk will explain how many of the results comparing K-theory and TC can be extended beyond the setting of connective rings, and in particular to −1-connective rings, because the universal localizing invariant of −1-connective rings are built out of those of connective rings.In the case of rings that are fixed points of Z-actions on connective rings,
this talk will explain how this can be accomplished using the work of Land–Tamme on the K-theory of pullbacks.

Suggested references: [LT19], [Lev22]

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