南方科技大学 // 数学系 // 学术会议 English

Algebra & Combinatorics Seminar

1970/01/01-1970/01/01

On the notion of arithmetic Higgs bundle

Abstract

In this talk, I would like to introduce the notion of arithmetic de Rham/Higgs bundle in the sense of Kang Zuo. They form good categories. I show that those coming from families form good subcategories and conjecture that they are indeed the whole categories. I shall also explain the relation of our conjecture with Grothendieck-Katz p-curvature conjecture.