Shimura varieties and complex conjugation

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• Lucio Guerberoff (UCL)
• Tuesday 05 May 2015, 16:15-17:15
• MR13.

If you have a question about this talk, please contact Jack Thorne.

Work of Shimura, Langlands, Milne-Shih, and, more recently, Taylor, have examined the action of complex conjugation on Shimura varieties. We study this topic from the viewpoint of the general theory of these varieties. In this talk, we will concentrate on certain Shimura varieties whose reflex field E is a CM field and stablish descent of these to the maximal totally real subfield E^+. We will discuss a strategy to construct these descent data in more generality, and mention possible applications. This work is joint with Don Blasius (UCLA) and remains in progress.

This talk is part of the Number Theory Seminar series.

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