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On the notion of arithmetic Higgs bundle

  • 演讲者:SHENG Mao (中国科学技术大学)

  • 时间:2019-06-03 09:30-10:30

  • 地点:慧园3栋 415报告厅

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.