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SUMMARY:Kalyani Kansal (Imperial)
DTSTART:20241009T150000Z
DTEND:20241009T160000Z
DTSTAMP:20260418T070212Z
UID:LNTS/138
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/138/">N
 on-generic components of the Emerton-Gee stack for GL$_2$</a>\nby Kalyani 
 Kansal (Imperial) as part of London number theory seminar\n\nLecture held 
 in Huxley 140\, Imperial College.\n\nAbstract\nLet $K$ be an unramified ex
 tension of $\\mathbb{Q}_p$ for a prime p > 3. The reduced part of the Emer
 ton-Gee stack for $\\mathrm{GL}_2$ can be viewed as parameterizing two-dim
 ensional mod p Galois representations of the absolute Galois group of $K$.
  In this talk\, we will consider the extremely non-generic irreducible com
 ponents of this reduced part and see precisely which ones are smooth or no
 rmal\, and which have Gorenstein or Cohen-Macaulay normalizations\, as wel
 l as determine their singular loci. We will see some consequences of this 
 study for the conjectural categorical p-adic Langlands correspondence. Thi
 s is based on recent joint work with Ben Savoie.\n
LOCATION:https://researchseminars.org/talk/LNTS/138/
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