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SUMMARY:Zuhair Mullath (University of Massachusetts\, Amherst)
DTSTART:20210218T220000Z
DTEND:20210218T230000Z
DTSTAMP:20260423T022804Z
UID:UCSD_NTS/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSD_NTS/27/
 ">Unobstructed Galois deformation problems associated to GSp(4)</a>\nby Zu
 hair Mullath (University of Massachusetts\, Amherst) as part of UCSD numbe
 r theory seminar\n\nLecture held in normally APM 7321\, currently online.\
 n\nAbstract\nTo a cuspidal automorphic representation of GSp(4) over $\\ma
 thbb Q$\, one can associate a compatible system of Galois representations 
 $\\{\\rho_p\\}_{p \\\; \\mathrm{prime}}$. For $p$ sufficiently large\, the
  deformation theory of the mod-$p$ reduction $\\overline \\rho_p$ is expec
 ted to be unobstructed -- meaning the universal deformation ring is a powe
 r series ring. The global obstructions to deforming $\\overline \\rho_p$ i
 s controlled by certain adjoint Bloch-Kato Selmer groups\, which are expec
 ted to be trivial for $p$ large enough.\n\nI will talk about some recent r
 esults showing that there are no local obstructions to the deformation the
 ory of $\\overline \\rho_p$ for almost all $p$. This is joint work with M.
  Broshi\, C. Sorensen\, and T. Weston.\n\nPre-talk\n
LOCATION:https://researchseminars.org/talk/UCSD_NTS/27/
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