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SUMMARY:Mohamed Moakher (University of Pittsburgh)
DTSTART:20260914T200000Z
DTEND:20260914T210000Z
DTSTAMP:20260914T075735Z
UID:NTBU/52
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTBU/52/">Th
 e trianguline variety for reductive groups</a>\nby Mohamed Moakher (Univer
 sity of Pittsburgh) as part of Boston University Number Theory Seminar\n\n
 Lecture held in CDS Room 365 in Boston University.\n\nAbstract\nTriangulin
 e representations form the class of $p$-adic Galois representations\nwhose
  associated $(\\varphi\,\\Gamma)$-module is a successive extension of\nran
 k-one objects\, and they correspond to overconvergent eigenforms. In a ser
 ies\nof works\, Breuil\, Hellmann\, and Schraen studied eigenvarieties by\
 nanalyzing the geometry of the trianguline variety\, the moduli\nof triang
 uline representations.\n\nIn this talk\, I will introduce the trianguline 
 variety for a split\nconnected reductive group\, establish some of its bas
 ic properties\, and\nconstruct a local model at certain singular points\, 
 extending the work of BHS. This has many\napplications\, including to the 
 density of crystalline representations in\nthe deformation space of a resi
 dual $p$-adic Galois representation. \n\nThis\nis joint work with Andrea C
 onti and Julian Quast.\n
LOCATION:https://researchseminars.org/talk/NTBU/52/
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