BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Shishir Agrawal (UCSD) DTSTART:20221013T210000Z DTEND:20221013T220000Z DTSTAMP:20260423T041157Z UID:UCSD_NTS/72 DESCRIPTION:Title: From category $\\mathcal{O}^\\infty$ to locally analytic representations \nby Shishir Agrawal (UCSD) as part of UCSD number theory seminar\n\nL ecture held in APM 6402 and online.\n\nAbstract\nLet $G$ be a $p$-adic red uctive group with $\\mathfrak{g} = \\mathrm{Lie}(G)$. I will summarize wor k with Matthias Strauch in which we construct an exact functor from catego ry $\\mathcal{O}^\\infty$\, the extension closure of the Bernstein-Gelfand -Gelfand category $\\mathcal{O}$ inside the category of $U(\\mathfrak{g})$ -modules\, into the category of admissible locally analytic representation s of $G$. This expands on an earlier construction by Sascha Orlik and Matt hias Strauch. A key role in our new construction is played by $p$-adic log arithms on tori\, and representations in the image of this functor are rel ated to some that are known to arise in the context of the $p$-adic Langla nds program.\n\npre-talk at 1:20pm\n LOCATION:https://researchseminars.org/talk/UCSD_NTS/72/ END:VEVENT END:VCALENDAR