Hot Topics: Life after the Telescope Conjecture: Calculating TC for homotopy fixed points of the Adams summand
Presenter
December 12, 2024
Keywords:
- Chromatic homotopy
- algebraic K-theory
- telescope conjecture
- truncated Brown Peterson spectra
MSC:
- 55P60 - Localization and completion in homotopy theory
Abstract
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.