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SUMMARY:Andrea Dotto (King's College London)
DTSTART:20250129T160000Z
DTEND:20250129T170000Z
DTSTAMP:20260418T063945Z
UID:LNTS/149
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/149/">G
 elfand--Kirillov dimension and mod $p$ cohomology for quaternion algebras<
 /a>\nby Andrea Dotto (King's College London) as part of London number theo
 ry seminar\n\nLecture held in Room 505\, Department of Mathematics (25 Gor
 don St)\, University College London.\n\nAbstract\nThe Gelfand--Kirillov di
 mension is a classical invariant which measures the size of smooth represe
 ntations of p-adic groups. It acquired particular relevance in the mod $p$
  Langlands program because of work of Breuil--Herzig--Hu--Morra--Schraen\,
  who computed it for the mod $p$ cohomology of $\\mathrm{GL}_2$ over total
 ly real fields\, and used it to prove several structural properties of the
  cohomology. In this talk we will present a simplified proof of this resul
 t\, which has the added benefit of working unchanged for nonsplit inner fo
 rms of $\\mathrm{GL}_2$. This is joint work with Bao V. Le Hung.\n
LOCATION:https://researchseminars.org/talk/LNTS/149/
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