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SUMMARY:David Hansen (MPIM)
DTSTART:20220407T210000Z
DTEND:20220407T220000Z
DTSTAMP:20260423T024656Z
UID:UCSD_NTS/64
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSD_NTS/64/
 ">Duality and the p-adic Jacquet-Langlands correspondence</a>\nby David Ha
 nsen (MPIM) as part of UCSD number theory seminar\n\nLecture held in APM 6
 402 and online.\n\nAbstract\nIn joint work with Lucas Mann\, we establish 
 several new properties of the p-adic Jacquet-Langlands functor defined by 
 Scholze in terms of the cohomology of the Lubin-Tate tower. In particular\
 , we prove a duality theorem\, establish bounds on Gelfand-Kirillov dimens
 ion\, prove some non-vanishing results\, and show a kind of partial Künne
 th formula. The key new tool is the six functor formalism with solid almos
 t $\\mathcal{O}^+/p$-coefficients developed recently by Mann.\n\nPre-talk\
 n
LOCATION:https://researchseminars.org/talk/UCSD_NTS/64/
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