数论与表示论讨论班——On the cohomology of rational p-adic local systems

报告人：Shizhang Li，Chinese Academy of Sciences

时间：2025年3月19日，16:00-17:00

地点：紫金港校区东7数高院一楼报告厅

组织者：Dongwen Liu, Yifeng Liu,

                Andreas Mihatsch, Binyong Sun

摘要：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.