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SUMMARY:Geoffrey Akers (CUNY Graduate Center)
DTSTART:20210615T130000Z
DTEND:20210615T133000Z
DTSTAMP:20260423T035936Z
UID:POINT/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINT/36/">O
 n a universal deformation ring that is a discrete valuation ring</a>\nby G
 eoffrey Akers (CUNY Graduate Center) as part of POINT: New Developments in
  Number Theory\n\n\nAbstract\nWe consider a crystalline universal deformat
 ion ring $R$ of an $n$-dimensional\, mod $p$ Galois representation whose s
 emisimplification is the direct sum of two non-isomorphic absolutely irred
 ucible representations. Under some hypotheses\, we obtain that $R$ is a di
 screte valuation ring. The method examines the ideal of reducibility of $R
 $\, which is used to construct extensions of representations in a Selmer g
 roup with specified dimension.  This can be used to deduce modularity of r
 epresentations.\n
LOCATION:https://researchseminars.org/talk/POINT/36/
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