BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Auguste Hébert (Institut de Mathématiques Elie Cartan Nancy) DTSTART:20210323T160000Z DTEND:20210323T170000Z DTSTAMP:20260423T024445Z UID:GNTRT/8 DESCRIPTION:Title: Pr incipal series representations of Iwahori-Hecke algebras for Kac-Moody gro ups over local fields\nby Auguste Hébert (Institut de Mathématiques Elie Cartan Nancy) as part of Geometry\, Number Theory and Representation Theory Seminar\n\n\nAbstract\nLet G be a split reductive group over a non- Archimedean local field and H be its Iwahori-Hecke algebra. Principal seri es representations of H\, introduced by Matsumoto at the end of 1970's\, a re important in the representation theory of H. Every irreducible represen tation of H is the quotient of and can be embedded in some principal serie s representation of H and thus studying these representations enables to g et information on the irreducible representations of H. S.Kato provided an irreducibility criterion for these representations in the beginning of th e 1980's.\n\nKac-Moody groups are interesting infinite dimensional general izations of reductive groups. Their study over non-Archimedean local field began in 1995 with the works of Garland. Let G be a split Kac-Moody group (à la Tits) over a non-Archimedean local field. Braverman\, Kazhdan and Patnaik and Bardy-Panse\, Gaussent and Rousseau associated an Iwahori-Heck e algebra to G in 2014. I recently defined principal series representation s of these algebras. In this talk\, I will talk of these representations\, of a generalization of Kato's irreducibility criterion for these represen tations and of how they decompose when they are reducible.\n LOCATION:https://researchseminars.org/talk/GNTRT/8/ END:VEVENT END:VCALENDAR