Notes on Density of the Ordinary Locus
by Chia-Fu Yu  

Vol. 9 No. 4 (2014) P.711~P.734

ABSTRACT

The present are the notes for the author's talk given in the Conference on Diophantine Problems and Arithmetic Dynamics held at Academia Sinica, Taipei, June 24-28, 2013. The purposes are two-folds. The first is to introduce some background on the problem of density of the ordinary locus of the modulo p of certain Shimura varieties. The second aim is to show new results about the ordinary locus in reduction modulo p of the Hilbert-Siegel moduli spaces. This is a survey article of the current status of the aforementioned problem.

KEYWORDS
ordinary locus, PEL-type Shimura varieties, Hilbert-Siegel moduli spaces, KR stratication

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 14G35,11G18

MILESTONES

Received: 2013-09-25
Revised : 2014-07-28
Accepted: 2014-07-28

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