Asymptotic constancy I
Hot Topics: Life after the Telescope Conjecture December 09, 2024 - December 13, 2024
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
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Secondary Mathematics Subject Classification
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Asymptotic constancy I
The key input to seeing that the T(n)-local TC doesn’t commute with taking -fixed points in the case of interest is asymptotic constancy. Asymptotic constancy allows one to reduce checking this to the case of a trivial action. This talk and the next will be dedicated to showing asymptotic constancy for the THH of the ring spectra of interest. The key properties
of the ring spectra that are used to show this are that the Z-actions onthem are locally unipotent, they satisfy the height n Lichtnebaum–Quillen property, and are almost compact.
Suggested references: [BHLS23, §4.1,4.2,A.3]
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Asymptotic constancy I
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