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SUMMARY:Topological Hochschild Homology and Fixed Point Invariants
DTSTART:20181009T101500
DTEND:20181009T111500
DTSTAMP:20260502T004947Z
UID:a2fb22ae289e7a44114b7c15cf97e78c0e7d1ba12a87e0d3a0ba079a
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jonathan Campbell\nFixed point theorists have an array of inva
 riants for determining if a self-map is homotopic to one without fixed poi
 nts - most are elaborations of the classical Lefschetz invariant. In this 
 talk\, I'll discuss these invariants and show that they arise very natural
 ly from topological Hochschild homology. Furthermore\, the invariants are 
 in the image on components of the cyclotomic trace from K-theory to THH. T
 his suggests higher K-theory and THH as homes for more refined fixed-point
  data. In order to make the talk accessible I'll define the objects involv
 ed - a knowledge of the stable homotopy category is the only prerequisite.
  This is joint work with Kate Ponto.
LOCATION:CM 1 113 https://plan.epfl.ch/?room==CM%201%20113
STATUS:CONFIRMED
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