p-adic Hodge Theory and Applications

The subject of  p-adic Hodge theory has seen a number of dramatic breakthroughs in recent years, including the introduction of perfectoid geometry, new approaches to p-adic cohomology theories,  and the geometrization of the local Langlands correspondence. These developments have led to the solution of longstanding conjectures both within p-adic Hodge theory and in adjacent fields, and the introduction of new classes of geometric objects for future study.  

The workshop will focus on some of these recent advances, including the growing interactions of p-adic Hodge theory with commutative algebra, mixed characteristic algebraic geometry, and K-theory.

Speakers:  Benjamin Antieau (Northwestern), Kestutis Česnavičius (Paris-Saclay), Pierre Colmez (Jussieu), Matthew Emerton (Chicago), Laurent Fargues (Jussieu), Ofer Gabber (IHES), Lars Hesselholt (Copenhagen), Arthur-César Le Bras (Paris 13), Linquan Ma (Purdue), Matthew Morrow (Jussieu), Wieslawa Nizioł (Jussieu), Alexander Petrov (Harvard), Peter Scholze (Bonn)

Participation in the workshop is by invitation, but a limited number of additional places is available. To register for the Clay Research Conference or to register interest in a workshop, email Naomi Kraker. Students please also provide a letter of reference from your supervisor.