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SUMMARY:On the Hochschild homology of Johnson-Wilson spectra
DTSTART:20190604T101500
DTEND:20190604T111500
DTSTAMP:20260924T105511Z
UID:ac1cfc44792d12a221426e4585ff45f32fd496ec487692388cb2da36
CATEGORIES:Conferences - Seminars
DESCRIPTION:Christian Ausoni\nLet E(n) denote the n-th Johnson-Wilson spec
 trum at an odd prime p.\nThe spectrum E(1) coincides with the Adams summan
 d of p-local topological K-theory.\nMcClure and Staffeldt offered an intri
 guing computation\nof THH(E(1))\, showing that it splits as a wedge sum of
  E(1) and a rationalized suspension of E(1).\n\nIn joint work with Birgit 
 Richter\, we study the Morava K-theories of THH(E(n))\,\nwith an aim at in
 vestigating if McClure-Staffeldt's splitting in lower chromatic\npieces ge
 neralizes.  Under the assumption that E(2) is commutative\, we show that\
 nTHH(E(2)) splits as a wedge sum of E(2) and its lower chromatic localizat
 ions.
LOCATION:MA A1 12 https://plan.epfl.ch/?room=MAA112
STATUS:CONFIRMED
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