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SUMMARY:Axel Kölschbach (MPIM Bonn)
DTSTART:20211123T083500Z
DTEND:20211123T090500Z
DTSTAMP:20260423T010920Z
UID:JENTE/56
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JENTE/56/">O
 n a candidate for the p-adic Jacquet—Langlands correspondence</a>\nby Ax
 el Kölschbach (MPIM Bonn) as part of Japan Europe Number Theory Exchange 
 Seminar\n\n\nAbstract\nThe Jacquets—Langlands correspondence is a biject
 ion between square-integrable complex representations of $\\operatorname{G
 L}_n(F)$ (for $F$ a finite extension of $\\mathbb{Q}_p$) and square-integr
 able $f$ complex representations of the unit group of the division algebra
  $D$ over $F$ with invariant $1/n$. Using the cohomology of the Lubin—Ta
 te Tower\, Scholze constructed a candidate for a $p$-adic Jacquets—Langl
 ands correspondence. We will explain this construction and explore the rel
 ationship to the cohomology of Harris—Taylor Shimura varieties.\n
LOCATION:https://researchseminars.org/talk/JENTE/56/
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