数論幾何学セミナー: Compactifications of PEL-type Shimura varieties and Kuga families with ordinary loci, II (2)

開催日時
2012年   7月 30日 14時 00分 ~ 2012年   7月 30日 16時 00分
場所
北海道大学理学部4号館501
講演者
Kai-wen Lan
 
During the Workshop on the Arithmetic Geometry of Shimura Varieties, Representation Theory, and Related Topics, from July 18th to 22nd, 2012, I talked about the constructions of normal flat p-integral models of various algebraic compactifications of PEL-type Shimura varieties and Kuga families, allowing both ramification and levels at p, with good behaviors over the loci where certain (multiplicative) ordinary level structures are defined.

I will briefly review the main statements, and give more details about the constructions, focusing on two important ingredients:
I will explain about a theory of degeneration for (multiplicative)
ordinary level structures (generalizing earlier works of Mumford, Faltings, Chai, some others, and myself), and some technique for proving quasi-projectivity using auxiliary good reduction models.
If time permits, I will discuss some other ingredients important for applications to the construction of overconvergent cusp forms.

関連項目

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