Calculating TC for homotopy fixed points of the Adams summand
Hot Topics: Life after the Telescope Conjecture December 09, 2024 - December 13, 2024
Location: SLMath: Eisenbud Auditorium, Online/Virtual
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Calculating TC for homotopy fixed points of the Adams summand
This talk will disprove the telescope conjecture at height 2 and primes p > 5, by a direct computational approach. Specifically, the speaker will prove that, for k sufficiently large and Z acting by the Adams operation Ψp+1, V (2)∗ TC(l
hpkZ) has non-finite homotopy groups.
Suggested references: Oberwolfach report 34/2023, [BHLS23, §7], final video/notes from Mark Behrens’ graduate course
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Calculating TC for homotopy fixed points of the Adams summand
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