Title: "Miscellanea on Crystalline Cohomology"
Jonathan Pottharst

Abstract: "This talk will cover various ideas that make crystalline cohomology useful to arithmetic geometers, with a focus on Frobenius. First, we will carefully sort out the various Frobenius maps and their actions on cohomology. We will then talk about Mazur's "Newton above Hodge" theorem and the Cartier isomorphism. After that, we shall explain the uses in characteristic zero: the p-adic de Rham theorem and crystalline deformation theory."