Boundedness of the Adams summand

This talk will explain the theorem, by Ausoni–Rognes, that V (2)∗TR(l) is bounded for primes p > 3. (The speaker may assume that p > 5, so that V (2) exists as a homotopy commutative and associative ring, or alternatively may make use of the motivic spectral sequence.) Here, l = BP⟨1⟩ is the Adams summand of p-local complex K-theory. This was
the first example of a higher height Lichtenbaum–Quillen theorem, and the speaker will also explain how to deduce chromatic redshift. 

The computations going into the Ausoni–Rognes result will be explained explicitly enough that they may be adapted to compute V (2)∗ TC(lhpkZ) on Thursday (speakers may want to coordinate these two talks).

Suggested references: [AR02], [HRW22] and [BHLS23, §6 & 7]

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