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SUMMARY:Hochschild homology for Green functors - Teena Gerhardt (Michigan 
 State University)
DTSTART:20180815T103000Z
DTEND:20180815T113000Z
UID:TALK108748@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Hochschild homology of a ring has a topological analogue for r
 ing spectra\, topological Hochschild homology (THH)\, which plays an essen
 tial role in the trace method approach to algebraic K-theory. For a C_n-eq
 uivariant ring spectrum\, one can define C_n-relative THH. This leads to t
 he question: What is the algebraic analogue of C_n-relative THH? In this t
 alk\, I will define twisted Hochschild homology for Green functors\, which
  allows us to describe this algebraic analogue. This also leads to a theor
 y of Witt vectors for Green functors\, as well as an algebraic analogue of
  TR-theory. This is joint work with Andrew Blumberg\, Mike Hill\, and Tyle
 r Lawson.
LOCATION:Seminar Room 1\, Newton Institute
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