BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jared Weinstein (Boston University) DTSTART:20260421T203000Z DTEND:20260421T213000Z DTSTAMP:20260423T125522Z UID:MITNT/135 DESCRIPTION:Title: Excursion functions on p-adic groups\nby Jared Weinstein (Boston Unive rsity) as part of MIT number theory seminar\n\nLecture held in Room 2-449 in the Simons Building (building 2).\n\nAbstract\nI present material from my student Jacksyn Bakeberg's thesis. The Bernstein center of a p-adic gr oup is its ring of conjugation-invariant distributions\; this ring contro ls the representations of the group. Fargues-Scholze gives a geometric co nstruction of a subring of the Bernstein center\, consisting of excursion operators\, which are labeled by elements of the Galois group. One can th ink of these operators as an encoding of the Langlands correspondence. It would be interesting to give a completely explicit description of these e xcursion operators. We do exactly this in the case of G = SL_2\, where we show that the excursion operator is represented by a function (an "excurs ion function") on a dense open locus.\n LOCATION:https://researchseminars.org/talk/MITNT/135/ END:VEVENT END:VCALENDAR