Algebra & Combinatorics Seminar

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.