Recent Advances in p-adic Hodge Theory

Bhargav Bhat is interested in algebraic geometry in a broad sense, and especially enjoys questions with a p-adic flavour. He has made contributions to p-adic Hodge theory and applied them to questions in commutative algebra, algebraic topology and number theory. He is currently the Fernholz Joint Professor between the IAS and Princeton University.Martin Olsson is an algebraic geometer with a broad range of contributions to the subject. His interests include arithmetic cohomology theories, moduli spaces, stacks, log geometry, and derived categories among other topics. He is currently a Professor at University of California, Berkeley.

• Chapter 1 v-vector bundles on p-adic fields and Sen theory via the Hodge–Tate stack.- Chapter 2 The analytic topology suffices for the B+ dR-Grassmannian.- Chapter 3 Vanishing of cohomology in infinitely ramified towers.- Chapter 4 Monodromy representations of p-adic differential equations in Families.- Chapter 5 Point objects on abelian varieties.- Chapter 6 Some foundational results in p-adic geometry.