Harder-Narasimhan stratification in p-adic Hodge theory

BIMSA-YMSC Tsinghua Number Theory Seminar

About the Seminar

This is a research seminar on topics related to number theory and its applications which broadly can include related areas of interests such as analytic and algebraic number theory, algebra, combinatorics, algebraic and arithmetic geometry, cryptography, representation theory etc. The speakers are also encouraged to make their talk more accessible for graduate level students.

For more information, please refer to:

http://www.bimsa.cn/newsinfo/647938.html.

Abstract

We will talk about the construction of Harder-Narasimhan stratification on the B_{dR}^+-Grassmannian and study its basic geometric properties, such as non-emptiness, dimension and relation with other stratifications, which generalizes the work of Dat-Orlik-Rapoport, Cornut-Peche Irissarry, Nguyen-Viehmann and Shen. This is a joint work in progress with Jilong Tong.

Speaker

Research interests:

Rapoport-Zink spaces, affine Deligne-Lusztig varieties, p-adic period domains and Kisin varieties.