[iasmath-semru] [math-ias] Update: Topic and Abstract added to 4/19/2018 Number Theory Seminar

[Kristina Phillips]

INSTITUTE FOR ADVANCED STUDY
School of Mathematics
Princeton, NJ 08540
 
 
Mathematics Seminars
Week of April 16, 2018

 

 
Thursday, April 19
 
Joint IAS/Princeton University Number Theory Seminar
Topic:                     Mod$p$ points on Shimura varieties with parahoric
level structure
Speaker:                 Rong Zhou, Member, School of Mathematics
Time/Room:           4:30pm - 5:30pm/Fine Hall 214, Princeton University
Abstract Link:
http://www.math.ias.edu/seminars/abstract?event=136739

 

The Langlands-Rapoport conjecture gives a description of the mod $p$ points
of suitable integral models of Shimura varieties. Such results are of use,
for example, in computing the local factor of the (semi-simple) Hasse-Weil
zeta function of the Shimura variety. In this talk, we show that the points
in each of the isogeny classes on the special fiber of the integral models
of Shimura varieties with parahoric level constructed by Kisin and Pappas
have the form predicted by the above conjecture, when the group is
residually split at p. Along the way, we verify some of the He-Rapoport
axioms which allow us to deduce the non-emptiness of Newton strata for these
models.

 

 

 

 

 

 

 

 

 

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IAS Math Seminars Home Page:
http://www.math.ias.edu/seminars

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