Time: 16:00-17:00, Wednesday, March 19  

Title: On the cohomology of rational p-adic local systems

Speaker: Shizhang Li  (Chinese Academy of Sciences )

Abstract: In p-adic geometry, there are more mysterious rational p-adic local systems than in algebraic/complex geometry, for example, the analytification of P^1 is no longer simply connected due to existence of a rank 2 rational p-adic local system. The cohomology of such local systems were studied previously by Kedlaya–Liu and more recently by Anschütz–Le Bras–Mann. In this talk, we shall see a (relatively) low-tech approach to reprove some of KL/ALBM results. This is a report of an ongoing work joint with Niziol–Reinecke–Zavyalov.