Algebra & Combinatorics Seminar

On the notion of arithmetic Higgs bundle

  • Speaker: SHENG Mao (University of Science and Technology of China)

  • Time: Jun 3, 2019, 09:30-10:30

  • Location: Conference Room 415, Hui Yuan 3#

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.