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UID:526@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20150106T143000
DTEND;TZID=Europe/Paris:20150106T153000
DTSTAMP:20141222T133000Z
URL:https://www.i2m.univ-amu.fr/evenements/ladder-representations-and-galo
 is-distinction/
SUMMARY: (...): Ladder representations and Galois distinction
DESCRIPTION:: The space X=GL_n(E)/GL_n(F)\, for a quadratic extension E/F o
 f p-adic fields\, serves as an approachable case for the study of harmonic
  analysis on p-adic symmetric spaces on one hand\, while having ties with 
 Asai L-functions on the other. The smooth irreducible representations of G
 L_n(E) which can be embedded as functions on X are called GL_n(F)-distingu
 ished. It is known that a GL_n(F)-distinguished representation must be con
 tragredient to its own Galois conjugate. Conversely\, a conjecture often a
 ttributed to Jacquet states that the last-mentioned condition is close to 
 being sufficient for distinction. We show the conjecture is valid for the 
 class of ladder representations which was recently explored by Lapid and M
 inguez. Along the way\, we suggest a reformulation of the conjecture which
  concerns standard modules in place of irreducible representations.[https:
 //sites.google.com/site/maxim432/]CV: [http://tx.technion.ac.il/~max/maxgu
 revich-cv.pdf]
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DTSTART:20141026T020000
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