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Speaker:

Don Blasius
Affiliation:

University of California at Los Angeles/z.Z. MPIM
Date:

Thu, 2018-04-05 15:00 - 16:00
Location:

MPIM Lecture Hall
Parent event:

MPI-Oberseminar Shimura varieties are defined over a canonically defined number field called the reflex field.

It is either totally real or a totally imaginary quadratic extension of a totally real field, i.e. a CM

field. In this talk we consider only the latter case, and show that in many cases there exists a

descent of the variety to the maximal totally real subfield of the reflex field. By choice, we

use only of the defining group theoretic data of the variety as well as general properties of

Shimura varieties, algebraic groups,etc. In other words, no reference to moduli problems

is needed. The existence of these descents suggests several further problems. (This is joint

work with Lucio Guerberoff)

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