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SUMMARY:Paulina Fust (Duisburg-Essen)
DTSTART:20220224T220000Z
DTEND:20220224T230000Z
DTSTAMP:20260423T005848Z
UID:UCSD_NTS/57
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSD_NTS/57/
 ">Continuous group cohomology and Ext-groups</a>\nby Paulina Fust (Duisbur
 g-Essen) as part of UCSD number theory seminar\n\nLecture held in APM 6402
  and online.\n\nAbstract\nWe prove that the continuous cohomology groups o
 f a $p$-adic reductive group with coefficients in an admissible unitary $\
 \mathbb{Q}_p$-Banach space representation $\\Pi$ are finite-dimensional an
 d compare them to certain Ext-groups. As an application of this result\, w
 e show that the continuous cohomology of $SL_2(\\mathbb{Q}_p) $ with value
 s in non-ordinary irreducible $\\mathbb{Q}_p$-Banach space representations
  of $GL_2(\\mathbb{Q}_p)$ vanishes.\n
LOCATION:https://researchseminars.org/talk/UCSD_NTS/57/
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