BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Modular representations of p-adic groups and the Jacquet—Langlan
 ds correspondence - Shaun Stevens (UEA)
DTSTART:20170222T163000Z
DTEND:20170222T173000Z
UID:TALK71069@talks.cam.ac.uk
CONTACT:Christopher Brookes
DESCRIPTION:The Jacquet—Langlands correspondence is a bijection between 
 certain\nirreducible complex representations of a general linear group ove
 r a\np-adic field and an inner form of such a group\, defined by a charact
 er\nrelation. While the existence of the correspondence has been known\nsi
 nce the 1980s\, it is not yet known how to make it explicit in\ngeneral\, 
 even though there are classifications of the irreducible\nrepresentations 
 on both sides (and more)\; moreover\, all results so far\n(mostly due to B
 ushnell—Henniart) have concentrated on the\n``cuspidal'' case\, where th
 e character relation is more amenable to\ncomputation.\n\nAs well as tryin
 g to explain what these words mean\, I will report on\nwork where we bring
  the mod-l representation theory of p-adic groups\nto bear on this questio
 n (for l a prime different from p)\, in\nparticular reducing most of the p
 roblem to the cuspidal case.\n
LOCATION:MR12
END:VEVENT
END:VCALENDAR