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SUMMARY:Periodic points and topological restriction homology - Cary Malkie
 wich (Binghamton University)
DTSTART:20181205T090000Z
DTEND:20181205T100000Z
UID:TALK115372@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:I will talk about a project to import trace methods\, usually 
 reserved for algebraic K-theory computations\, into the study of periodic 
 orbits of continuous dynamical systems (and vice-versa). Our main result s
 o far is that a certain fixed-point invariant built using equivariant spec
 tra can be "unwound" into a more classical invariant that detects periodic
  orbits. As a simple consequence\, periodic-point problems (i.e. finding a
  homotopy of a continuous map that removes its n-periodic orbits) can be r
 educed to equivariant fixed-point problems. This answers a conjecture of K
 lein and Williams\, and allows us to interpret their invariant as a class 
 in topological restriction homology (TR)\, coinciding with a class defined
  earlier in the thesis of Iwashita and separately by Luck. This is joint w
 ork with Kate Ponto.
LOCATION:Seminar Room 1\, Newton Institute
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