Institute of Mathematics for Industry

Seminar



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On p-divisible groups with saturated Newton polygons


Hold Date 2016-06-16 16:00~2016-06-16 17:00

Place Lecture Room M W1-C-515, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Shushi Harashita (Yokohama National University, Graduate School of Environment and Information Sciences)

Abstract:
I will talk on a "classification" of isogeny classes of p-divisible groups with saturated Newton polygons.This topic can be regarded as an extension of Dieudonne-Manin classification over algebraically closed fields (and over perfect fields), the generalization by Zink over regular rings (including the case of imperfect fields) and that by Oort-Zink over normal noetherian rings.When we consider a family of p-divisible groups, the assumption that Newton polygon is constant was always necessary. But we shall weaken it to the assumption that the family has saturated Newton polygons.


* This seminar is combined with Algebra Seminar.