BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Miriam Norris (Queen Mary University of London) DTSTART:20260527T150000Z DTEND:20260527T160000Z DTSTAMP:20260528T081408Z UID:LNTS/194 DESCRIPTION:Title: O n p-ordinary\, mod p local Langlands correspondences.\nby Miriam Norri s (Queen Mary University of London) as part of London number theory semina r\n\nLecture held in King's College London\, Strand campus\, Room S3.30.\n \nAbstract\nTo a suitably “nice" automorphic representation we can attac h a p-adic representation of the absolute Galois group of a number field. We call a Galois representation arising in this way automorphic. One goal of the Langlands programme is prove various conjectures that classify the image of a correspondence with automorphic Galois representations in the s et of all Galois representations. When n = 2 and the number field is the r ationals\, a correspondence was built from combining mod p and p-adic corr espondences with local-global compatibility results. The p-adic correspond ence in this case is a representation of GL2(Qp)\, associated to a local G alois representation\, which occurs in the cohomology of the modular curve . \nIn work of Breuil and Herzig a candidate for a more general correspond ence for p-ordinary local Galois representations was constructed. In this talk I will discuss joint work of myself and Shu Sasaki in which we constr uct a purely local framework which should generalise Breuil and Herzig’s mod p results\, in particular allowing for the non-generic case. We will examine our construction in a maximally non-split example highlighting the representations that can occur in the graded pieces.\n LOCATION:https://researchseminars.org/talk/LNTS/194/ END:VEVENT END:VCALENDAR