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Session S27 - Categories and Topology

Friday, July 16, 13:00 ~ 13:30 UTC-3

Group actions on contractible 2-complexes

Iván Sadofschi Costa

IMAS - Universidad de Buenos Aires, Argentina   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this talk I will discuss the proof of a recent result: every action of a finite group G on a finite and contractible 2-complex X has a fixed point.

This was conjectured by Carles Casacuberta and Warren Dicks and was also posed as a question by Michael Aschbacher and Yoav Segev. We build on the classification, due to Bob Oliver and Yoav Segev, of the groups G which act without fixed points on an acyclic 2-complex. Part of this work is joint with Kevin Piterman.

Joint work with Kevin Piterman (IMAS - Universidad de Buenos Aires).

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