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UID:7871@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20160314T000000
DTEND;TZID=Europe/Paris:20160325T000000
DTSTAMP:20241120T205556Z
URL:https://www.i2m.univ-amu.fr/evenements/distinction-of-representations-
 using-buildings-for-p-adic-groups-morlet-chair-dipendra-prasad/
SUMMARY:Pairs (CIRM\, Luminy\, Marseille): Distinction of Representations u
 sing Buildings for p-adic Groups (Morlet Chair - Dipendra Prasad)
DESCRIPTION:Pairs: \n\n\n\n CIRM - Jean-Morlet Chair \n Dipendra PRASAD - V
 olker HEIERMANN\n\nRelative Aspects in Representation Theory\, Langlands F
 unctoriality and Automorphic Forms\n\nAspects relatifs en théorie de la r
 eprésentation\, fonctorialité de Langlands et formes automorph​es\n\n\
 n 2016 - Semester 1 \n\n\n\n\n\n\n\n\n\n\n\nRESEARCH IN PAIRS\nDistinction
  of Representations using Buildings for p-adic Groups (1551)\nDistinction
  des représentations utilisant des bâtiments pour les groupe p-adic \n
 Dates: 14-25 March 2016 at CIRM (Marseille Luminy\, France)\n[su_spacer si
 ze="10"]\n\n\n\n\n\n\n\n\nDESCRIPTION\nP. Broussous and F. Courtes have us
 ed buildings to prove a conjecture of Dipendra Prasad\, Duke Math. J. (200
 1) regarding the distinction of the Steinberg representation of G( E) by G
 ( F) where E /F is a quadratic extension of p-adic fields.\nThe proof\, al
 though still not in all cases\, uses novel application of Harmonic analysi
 s on the building\, basically a theorem of Borel-Serre realizing the Stein
 berg representation on the top  dimensional cohomology (with  compact
   support) of the building. It is likely that this way of proving theore
 m for the Steinberg representation  can be substantially generalized.\nT
 he proposed research in pairs involves Prasad\, Broussous and Courtes and 
 interests Heiermann too.\n​\nWe will get together to learn about some de
 tails of the proof (and buildings in general) that Broussous and Courtes h
 ave made\, and to think about the more general conjectures. The proposed c
 onjecture of D. Prasad was only for quasi-split groups\, but he has realis
 ed over the years that there is no reason to restrict oneself to quasispli
 t groups.  'We would like to think about it for general  reductive grou
 ps where the notion of Steinberg is of course as meaningful".\n\n\n\nBIBLI
 OGRAPHY\n(1) D. Prasad:  On a conjecture of Jacquet about distinguishe
 d representations of GL(n)\, Duke Math Journal\, vol. 109\, N°1\, (
 2001)\, pp.  67 - 78.\n(2) P. Broussous\, F. Courtes\, Distincti
 on of the Steinberg representation. Int. Math. Res. Notices\, (2014
 )\, no.  11\, pp.  3140-3157.\n(3) F. Courtes\, Distinction of t
 he Steinberg representation II: an equality of characters\; to app
 ear in Forum Mathematicum.\n(4) F. Courtes\, Distinction of the Steinber
 g representation III\;  the tamely ramified case\; preprint.\n\n\n\n[su_
 spacer size="10"]\nPARTICIPANTS\n\n\n 	Paul Broussous (Université de Poi
 tiers)\n\n\n 	François Courtès (Université de Poitiers) (*)\n\n\n 	Vo
 lker Heiermann (I2M\, Aix-Marseille Université)\n\n\n 	Dipendra Prasad 
 (TIFR Mumbai)\n\n\n\n* In Memoriam\nRegrettably François Courtès passed 
 away in September 2016\n- Tribute on Cédric Villani 's blog\n- Tribute b
 y the World Cube Association\, Francocube and Speedcubingfrance.\n\n\n
 \n  \n\n\n\n\n\n  \n\n\n\n\n\n
CATEGORIES:Manifestation scientifique,Morlet Chair Semester,Morlet
 Research in Pairs
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