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SUMMARY:Lennart Gehrmann (University of Duisburg-Essen / McGill University
 )
DTSTART:20201021T150000Z
DTEND:20201021T160000Z
DTSTAMP:20260418T065257Z
UID:LNTS/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/22/">L-
 invariants\, completed cohomology and big principal series</a>\nby Lennart
  Gehrmann (University of Duisburg-Essen / McGill University) as part of Lo
 ndon number theory seminar\n\n\nAbstract\nLet $f$ be a newform of weight $
 2$ that is Steinberg at $p$. Darmon showed that the Fontaine-Mazur $L$-inv
 ariant of the associated local $p$-adic Galois representation can be compu
 ted in terms of the cohomology of $p$-arithmetic subgroups of the group $P
 GL_2(\\mathbb{Q})$.\nOn the other hand Breuil showed that one can compute 
 the $f$-isoyptical part of completed cohomology of the modular curve in te
 rms of the cohomology of $p$-arithmetic groups.\nIn this talk I will give 
 generalizations of both results to higher rank reductive groups. This is p
 artly joint work with Giovanni Rosso.\n
LOCATION:https://researchseminars.org/talk/LNTS/22/
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