BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Realising The Smooth Representations of GL(2\,Zp) - Tom Adams\, Un
 iversity of Cambridge
DTSTART:20221104T150000Z
DTEND:20221104T160000Z
UID:TALK192350@talks.cam.ac.uk
CONTACT:Tom Adams
DESCRIPTION:The character table of GL(2\,Fq)\, for a prime power q\, was c
 onstructed over a century ago. Many of these characters were determined vi
 a the explicit construction of a corresponding representation\, but purely
  character-theoretic techniques were first used to compute the so-called d
 iscrete series characters. It was not until the 1970s that Drinfeld was ab
 le to explicitly construct the corresponding discrete series representatio
 ns via l-adic étale cohomology groups. This work was later generalised by
  Deligne and Lusztig to all finite groups of Lie type\, giving rise to Del
 igne-Lusztig theory.\n\nIn a similar vein\, we would like to construct the
  representations affording the (smooth) characters of compact groups like 
 GL(2\,Zp)\, where Zp is the ring of p-adic integers. Deligne-Lusztig theor
 y suggests hunting for these representations inside certain cohomology gro
 ups. In this talk\, I will consider one such approach using a non-archimed
 ean analogue of de Rham cohomology.\n
LOCATION:CMS MR13
END:VEVENT
END:VCALENDAR