BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Miaofen Chen (East China Normal University) DTSTART:20200910T150000Z DTEND:20200910T162000Z DTSTAMP:20260423T052758Z UID:RAMpAGe/12 DESCRIPTION:Title: Connectedness of Kisin varieties associated to absolutely irreducible Ga lois representations\nby Miaofen Chen (East China Normal University) a s part of Recent Advances in Modern p-Adic Geometry (RAMpAGe)\n\n\nAbstrac t\nAbstract: Let $K$ be a $p$-adic field. Let $\\rho$ be an $n$-dimensiona l continuous absolutely irreducible mod $p$ representation of the absolute Galois group of $K$. The Kisin variety is a projective scheme which param etrizes the finite flat group schemes over the ring of integers of $K$ wit h generic fiber $\\rho$ satisfying some determinant condition. The connect ed components of the Kisin variety is in bijection with the connected comp onents of the generic fiber of the flat deformation ring of $\\rho$ with g iven Hodge-Tate weights. Kisin conjectured that the Kisin variety is conn ected in this case. We show that Kisin's conjecture holds if $K$ is total ly ramified with $n=3$ or the determinant condition is of a very particula r form. We also give counterexamples to show Kisin's conjecture does not hold in general. This is a joint work with Sian Nie.\n\nPlease note that t his talk is one hour earlier than usual.\n LOCATION:https://researchseminars.org/talk/RAMpAGe/12/ END:VEVENT END:VCALENDAR