Presented by:
Christian Ausoni University Paris 13
Date:
Monday 24th September 2018 - 14:30 to 15:30
Venue:
INI Seminar Room 1
Abstract:
Let E(n) denote the n-th Johnson-Wilson spectrum at an
odd prime p.
The spectrum E(1) coincides with the Adams summand of
p-local topological K-theory.
McClure and Staffeldt offered an intriguing computation
of THH(E(1)), showing that it splits as a wedge sum of E(1) and a rationalized
suspension of E(1).
In joint work with Birgit Richter, we study the Morava
K-theories of THH(E(n)), with an aim at investigating if McClure-Staffeldt's
splitting in lower chromatic pieces generalizes. Under the assumption that E(2) is
commutative, we show that
THH(E(2)) splits as a wedge sum of E(2) and its lower
chromatic localizations.
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