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SUMMARY:Shimura varieties and complex conjugation - Lucio Guerberoff (UCL)
DTSTART:20150505T151500Z
DTEND:20150505T161500Z
UID:TALK58794@talks.cam.ac.uk
CONTACT:Jack Thorne
DESCRIPTION:Work of Shimura\, Langlands\, Milne-Shih\, and\, more recently
 \, Taylor\, have examined the action of complex conjugation on Shimura var
 ieties. We study this topic from the viewpoint of the general theory of th
 ese varieties. In this talk\, we will concentrate on certain Shimura varie
 ties whose reflex field E is a CM field and stablish descent of these to t
 he maximal totally real subfield E^+. We will discuss a strategy to constr
 uct these descent data in more generality\, and mention possible applicati
 ons. This work is joint with Don Blasius (UCLA) and remains in progress.
LOCATION:MR13
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