BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:The principal  block of  a   Z_l-spets. - Radha Kessar (Universit
 y of London)
DTSTART:20220512T080000Z
DTEND:20220512T085000Z
UID:TALK172808@talks.cam.ac.uk
DESCRIPTION:The &nbsp\;Broue-Malle-Michel &nbsp\;theory of spetses &nbsp\;
 associates to certain complex reflection groups combinatorially defined &n
 bsp\; data sets &nbsp\; whose properties &nbsp\; reflect &nbsp\; those of 
 unipotent &nbsp\;characters &nbsp\; of &nbsp\; finite reductive groups. &n
 bsp\;On the other hand\,&nbsp\; the Dwyer-Wilkerson &nbsp\;theory of&nbsp\
 ; l-compact groups &nbsp\;associates to&nbsp\; l-adic &nbsp\; reflection g
 roups &nbsp\;topological spaces &nbsp\;which possess much of the structure
  of compact &nbsp\;groups. &nbsp\;&nbsp\;In this talk\, I will discuss &nb
 sp\;how combining &nbsp\; &nbsp\;spetsial &nbsp\;theory &nbsp\;with &nbsp\
 ; the theory of l-compact groups &nbsp\; &nbsp\;can be used&nbsp\;to &nbsp
 \;define the &nbsp\;notion of the principal&nbsp\; block of&nbsp\; &nbsp\;
  an&nbsp\; Z_l-spets&nbsp\; &nbsp\; which &nbsp\;on a numerical &nbsp\;lev
 el conjecturally &nbsp\;resembles &nbsp\; the &nbsp\; principal&nbsp\; l-b
 lock &nbsp\;of a finite group. I will &nbsp\; present &nbsp\;some &nbsp\;s
 upportive &nbsp\;evidence &nbsp\;which goes through a new &nbsp\;Yokonuma 
 type &nbsp\;algebra &nbsp\; construction for torus normalisers &nbsp\;in l
 -compact groups. &nbsp\;This is joint work with &nbsp\;Gunter Malle and &n
 bsp\;Jason Semeraro.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR