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SUMMARY:Motivic Hochschild homology - Kyle Ormsby (Reed College)
DTSTART:20220613T150000Z
DTEND:20220613T160000Z
UID:TALK174902@talks.cam.ac.uk
DESCRIPTION:I will introduce a motivic variant of Hochschild homology valu
 ed in the stable $\\mathbb{A}^1$-homotopy category. Over an algebraically 
 closed field of characteristic distinct from $p$\, computations reveal tha
 t the motivic Hochschild homology of $\\mathbb{F}_p$ has a rich pattern of
  $\\tau$-torsion. This places significant constraints on potential --- eve
 n expected --- motivic analogues of classical and $C_2$-equivariant theore
 ms (e.g. James splitting and motivic Eilenberg-Mac Lane spectra as Thom sp
 ectra). &nbsp\;This is joint work with Bj{\\o}rn Dundas\, Mike Hill\, and 
 Paul Arne {\\O}stv{\\ae}r.
LOCATION:Seminar Room 1\, Newton Institute
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