Seminar: Non-archimedean geometry

Yu Min

Abstract: The coefficient theory of prismatic cohomology has been investigated a lot recently. For example, Morrow–Tsuji and Tian have discovered the relationship between Hodge–Tate crystals and Higgs bundles (at least in the local case). In this talk, I will briefly talk about how to get a global correspondence between Hodge–Tate crystals and Higgs bundles after inverting p. Then I will discuss what we can say without inverting p in the geometric case (over Oc) (if time permits, also in the arithmetic case (over W(k))). This is joint work with Yupeng Wang.