BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Karol Koziol (University of Michigan) DTSTART:20200824T130000Z DTEND:20200824T133000Z DTSTAMP:20260423T035753Z UID:POINT/5 DESCRIPTION:Title: Su persingular representations of p-adic reductive groups.\nby Karol Kozi ol (University of Michigan) as part of POINT: New Developments in Number T heory\n\n\nAbstract\nThe representation theory of p-adic reductive groups plays an extremely important role in modern number theory. Namely\, the l ocal Langlands conjectures predict that (packets of) irreducible complex r epresentations of p-adic reductive groups (such as $\\mathrm{GL}_n(\\mathb b{Q}_p)$\, $\\mathrm{GSp}_{2n}(\\mathbb{Q}_p)$\, etc.) should be parametri zed by certain representations of the Weil-Deligne group (a variant of the usual absolute Galois group). A special role in this hypothetical corres pondence is held by the supercuspidal representations\, which generically are expected to correspond to irreducible objects on the Galois side\, and which serve as building blocks for all irreducible representations. Moti vated by recent advances in the mod-$p$ local Langlands program (i.e.\, wi th mod-$p$ coefficients instead of complex coefficients)\, I will give an overview of what is known about supersingular representations of $p$-adic reductive groups\, which are the "mod-$p$ coefficients" analogs of supercu spidal representations. This is joint work with Florian Herzig and Marie- France Vigneras.\n\nPlease register for the talks on August 24 here: \nhtt ps://virginia.zoom.us/meeting/register/tJMkc-uorT8iHdOXRaBkci8wHoKUkqiXaq- E\n LOCATION:https://researchseminars.org/talk/POINT/5/ END:VEVENT END:VCALENDAR