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SUMMARY:Kalyani Kansal (Johns Hopkins)
DTSTART:20221110T220000Z
DTEND:20221110T230000Z
DTSTAMP:20260423T024623Z
UID:UCSD_NTS/76
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSD_NTS/76/
 ">Intersections of components of Emerton-Gee stack for $\\mathrm{GL}_2$</a
 >\nby Kalyani Kansal (Johns Hopkins) as part of UCSD number theory seminar
 \n\nLecture held in APM 6402 and online.\n\nAbstract\nThe Emerton-Gee stac
 k for $\\mathrm{GL}_2$ is a stack of $(\\varphi\, \\Gamma)$-modules whose 
 reduced part $\\mathcal{X}_{2\, \\mathrm{red}}$ can be viewed as a moduli 
 stack of mod $p$ representations of a $p$-adic Galois group. We compute cr
 iteria for codimension one intersections of the irreducible components of 
 $\\mathcal{X}_{2\, \\mathrm{red}}$\, and interpret them in sheaf-theoretic
  terms. We also give a cohomological criterion for the number of top-dimen
 sional components in a codimension one intersection.\n\npre-talk\n
LOCATION:https://researchseminars.org/talk/UCSD_NTS/76/
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