BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Haoyang Guo (University of Minnesota) DTSTART:20260407T203000Z DTEND:20260407T213000Z DTSTAMP:20260423T130432Z UID:MITNT/134 DESCRIPTION:Title: A primitive purity theorem for Frobenius modules\nby Haoyang Guo (Univ ersity of Minnesota) as part of MIT number theory seminar\n\nLecture held in Room 2-449 in the Simons Building (building 2).\n\nAbstract\nIn p-adic Hodge theory\, a fundamental observation of Breuil and Kisin is that some Galois representations over p-adic integers give rise to interesting integ ral linear-algebraic data\, where the latter nowadays are called Breuil--K isin modules. The notion naturally generalizes to modules with Frobenius s tructures over a more general base\, thanks to the prismatic cohomology in troduced by Bhatt and Scholze. In this talk\, we show that Frobenius modul es over a regular ring admit a primitive purity theorem\, explain its appl ications to p-adic local systems\, and give some new observations on the p urity (and its failure) for p-divisible groups.\n LOCATION:https://researchseminars.org/talk/MITNT/134/ END:VEVENT END:VCALENDAR