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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Periodic points and topological restriction homolo
gy - Cary Malkiewich (Binghamton University)
DTSTART;TZID=Europe/London:20181205T090000
DTEND;TZID=Europe/London:20181205T100000
UID:TALK115372AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/115372
DESCRIPTION:I will talk about a project to import trace method
s\, usually reserved for algebraic K-theory comput
ations\, into the study of periodic orbits of cont
inuous dynamical systems (and vice-versa). Our mai
n result so far is that a certain fixed-point inva
riant built using equivariant spectra can be "unwo
und" into a more classical invariant that detects
periodic orbits. As a simple consequence\, periodi
c-point problems (i.e. finding a homotopy of a con
tinuous map that removes its n-periodic orbits) ca
n be reduced to equivariant fixed-point problems.
This answers a conjecture of Klein and Williams\,
and allows us to interpret their invariant as a cl
ass in topological restriction homology (TR)\, coi
nciding with a class defined earlier in the thesis
of Iwashita and separately by Luck. This is joint
work with Kate Ponto.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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