BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Helene Esnault (Freie Universität Berlin) DTSTART:20230428T190000Z DTEND:20230428T200000Z DTSTAMP:20260407T214816Z UID:agstanford/114 DESCRIPTION:Title: Crystallinity properties of complex rigid local systems [not online]< /a>\nby Helene Esnault (Freie Universität Berlin) as part of Stanford alg ebraic geometry seminar\n\nLecture held in 383-N.\n\nAbstract\nJoint work in progress with Michael Groechenig\n\n We prove in all generality that on a smooth complex quasi-projective variety $X$\, Rigid connections yiel d $F$-isocrystals on almost all good reductions $X_{\\mathbb F_q}$ and tha t rigid local systems yield crystalline local systems on $X_K$ for $K$ th e field of fractions of the Witt vectors of a finite field $\\mathbb F_q$\ , for almost all $X_{\\mathbb F_q}$. This improves our earlier work where\ , if $X$ was not projective\, we assumed a strong cohomological condition (which is fulfilled for Shimura varieties of real rank $\\geq 2$)\,\n and we obtained only infinitely many $\\mathbb F_q$ of growing characteristic . While the earlier proof was via characteristic $p$\, the new one is pure ly $p$-adic and uses $p$-adic topology.\n\n We shall discuss the projectiv e case during the lecture.\n LOCATION:https://researchseminars.org/talk/agstanford/114/ END:VEVENT END:VCALENDAR