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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Commensurating actions of groups of birational tra
nsformations - Yves de Cornulier (CNRS (Centre nat
ional de la recherche scientifique)\; Université P
aris Saclay)
DTSTART;TZID=Europe/London:20170516T110000
DTEND;TZID=Europe/London:20170516T120000
UID:TALK72587AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/72587
DESCRIPTION:A commensurating action is an action of a group on
a set along with a subset that is commensurated\,
in the sense that it has finite symmetric differe
nce with each of its translates. There are natural
ways to go from commensurating actions to actions
on CAT(0) cube complexes and vice versa. For eac
h variety X\, we construct a natural commensuratin
g action of the group of birational transformation
s of X. The commensurated subset turns out to be t
he set of irreducible hypersurfaces in X. Under th
e assumption that the acting group has Property FW
(which means that every action on a CAT(0) cube c
omplex has a fixed point)\, we deduce restrictions
on its birational actions. \; (Joint work
with Serge Cantat)

LOCATION:Seminar Room 2\, Newton Institute
CONTACT:info@newton.ac.uk
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