BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Haoyang Guo (Max-Planck-Institut für Mathematik) DTSTART:20220420T073000Z DTEND:20220420T083000Z DTSTAMP:20260423T024730Z UID:POINTS/32 DESCRIPTION:Title: Prismatic approach to crystalline local systems\nby Haoyang Guo (Max-P lanck-Institut für Mathematik) as part of POINTS - Peking Online Internat ional Number Theory Seminar\n\n\nAbstract\nLet \\(X\\) be a smooth proper scheme over a \\(p\\)-adic field such that \\(X\\) has a good reduction. I nspired by the de Rham comparison theorem in complex geometry\, Grothendie ck asked if there is a "mysterious functor" relating étale cohomology of the generic fiber and crystalline cohomology of the special fiber. This qu estion was answered by work of many people\, including Fontaine and Faltin gs. In particular\, this motivates the definition of a \\(p\\)-adic Galois representation being crystalline\, generalizing the étale cohomology of \\(X\\) as above. In this talk\, we will give an overview for the prismati c approach of Bhatt-Scholze on crystalline representations. Moreover\, joi ntly with Emanuel Reinecke\, we will consider the higher dimensional gener alization of this approach on crystalline local systems.\n\nZoom ID: 818 0 595 3631\n\nZoom password: 746304\n LOCATION:https://researchseminars.org/talk/POINTS/32/ END:VEVENT END:VCALENDAR