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SUMMARY:Matthias Strauch (Indiana University Bloomington)
DTSTART:20220310T223000Z
DTEND:20220310T233000Z
DTSTAMP:20260423T022837Z
UID:JNTS/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JNTS/38/">p-
 adic Banach space representations of SL(2\, Q_p)</a>\nby Matthias Strauch 
 (Indiana University Bloomington) as part of Columbia CUNY NYU number theor
 y seminar\n\n\nAbstract\nWe explain how to deduce a classification of admi
 ssible\nunitary representations of SL$(2\, \\mathbb Q_p)$ on Banach spaces
  over (finite\nextensions of) $\\mathbb Q_p$ from the $p$-adic Langlands c
 orrespondence for\nGL$(2\, \\mathbb Q_p)$. The latter was established by C
 olmez and \nColmez-Dospinescu-Paskunas. When the representation is "de Rha
 m''\, we relate the\ncorresponding L-packet to the L-packet of associated 
 smooth\nrepresentations. When compared to the case of smooth representatio
 ns\,\ninteresting similarities as well as dissimilarities can be observed.
 \n
LOCATION:https://researchseminars.org/talk/JNTS/38/
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