Speaker: Ehud de Shalit
Title:Periods and Hodge theory, complex and p-adic
P-adic theory
p-adic Hodge theory started with Tate in the 1960's, and witnessed two periods of great expansion: one by Fontaine and his school, the other one more recently, by Scholze and his collaborators. It has found spectacular applications in arithmetic algebraic geometry. Scholze got the Fields medal last August for this work. By analogy with the first lecture we shall try to explain the main ideas, without going into details