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SUMMARY:Periodic orbits and topological restriction homology
DTSTART:20181113T101500
DTEND:20181113T111500
DTSTAMP:20260511T050421Z
UID:bb315b68863c273ca62da04bf25d096dbf7c1d1dad19ecb57513f877
CATEGORIES:Conferences - Seminars
DESCRIPTION:Cary Malkiewich\nI will talk about a project to import trace m
 ethods\, usually reserved for algebraic K-theory computations\, into the s
 tudy of periodic orbits of continuous dynamical systems (and vice-versa). 
 Our main result so far is that a certain fixed-point invariant built using
  equivariant spectra can be ``unwound'' into a more classical invariant th
 at detects periodic orbits. As a simple consequence\, periodic-point probl
 ems (i.e. finding a homotopy of a continuous map that removes its n-period
 ic orbits) can be reduced to equivariant fixed-point problems. This answer
 s a conjecture of Klein and Williams\, and allows us to interpret their in
 variant as a class in topological restriction homology (TR)\, coinciding w
 ith a class defined earlier in the thesis of Iwashita and separately by Lu
 ck. 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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