BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Valentin Buciumas (Pohang University of Science and Technology (PO
 STECH))
DTSTART:20240425T013000Z
DTEND:20240425T030000Z
DTSTAMP:20260423T022143Z
UID:gapkias/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/gapkias/9/">
 Hecke algebras\, Whittaker functions and quantum groups</a>\nby Valentin B
 uciumas (Pohang University of Science and Technology (POSTECH)) as part of
  Geometry\, Algebra and Physics at KIAS\n\nLecture held in KIAS 1424.\n\nA
 bstract\nI will give a brief overview of the Satake isomorphism and the Ca
 sselman-Shalika formula\, which are basic tools in the representation theo
 ry of p-adic groups. These two results essentially state that the spherica
 l Hecke algebra and the spherical Whittaker functions on a p-adic group ca
 n be understood in terms of the representation theory of the dual group.\n
 When passing from p-adic groups to their metaplectic covers\, it was conje
 ctured by Gaitsgory and Lurie (recently proved in different settings by Ca
 mpbell-Dhillon-Raskin and Buciumas-Patnaik) that the dual group gets repla
 ced by a certain quantum group at a root of unity. I will try to explain t
 he conjecture of Gaitsgory-Lurie and if time permits some of the ideas of 
 the proof in the algebraic setting\, as well as some interactions to combi
 natorics and number theory.\n
LOCATION:https://researchseminars.org/talk/gapkias/9/
END:VEVENT
END:VCALENDAR