BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Robin Bartlett (Queen Mary University of London) DTSTART:20251126T160000Z DTEND:20251126T170000Z DTSTAMP:20260418T070330Z UID:LNTS/174 DESCRIPTION:Title: I solating the Hodge type in moduli spaces of crystalline Galois representat ions\nby Robin Bartlett (Queen Mary University of London) as part of L ondon number theory seminar\n\nLecture held in Imperial College London\, R oom 139.\n\nAbstract\nModuli spaces of representations of the absolute Gal ois group of a p-adic field play an important role in various aspects of t he Langlands correspondence. In this talk I will focus on cases in which t he coefficients of these representations also have characteristic p\, and discuss joint work with Bao Le-Hung and Brandon Levin in which we control the singularities of these moduli spaces in several new cases. One new ing redient is a description of integral conditions\, derived from Plücker co ordinates on the affine Grassmannian\, which cut out the locus with a spec ific Hodge type. This works for any ramification degree\, and as an applic ation we can extend modularity lifting theorems proved by Kisin for two di mensional Galois representations of a totally real number field\, to three dimensional representations.\n LOCATION:https://researchseminars.org/talk/LNTS/174/ END:VEVENT END:VCALENDAR