BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Carlos André (University of Lisboa\, Portugal)
DTSTART:20241125T150000Z
DTEND:20241125T160000Z
DTSTAMP:20260423T021125Z
UID:ENAAS/103
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/103/">
 Supercharacters of adjoint groups of radical rings and related subgroups</
 a>\nby Carlos André (University of Lisboa\, Portugal) as part of European
  Non-Associative Algebra Seminar\n\n\nAbstract\nDescribing the conjugacy c
 lasses and/or irreducible characters of the unitriangular group over a fin
 ite field is known to be an impossibly difficult problem. Superclasses and
  supercharacters have been introduced (under the names of "basic varieties
 " and "basic characters") as an attempt to approximate conjugacy classes a
 nd irreducible characters using a cruder version of Kirillov's method of c
 oadjoint orbits.\n\nIn the past thirty years\, these notions have been rec
 ognised in several areas (seemingly unrelated to representation theory): e
 xponential sums in number theory\, random walks in probability and statist
 ics\, association schemes in algebraic combinatorics...\n\nIn this talk\, 
 we will describe and illustrate the main ideas and recent developments of 
 the standard supercharacter theory of adjoint groups of radical rings. We 
 will explore the close relation to Schur rings\, and extend a well-known f
 actorisation of supercharacters of unitriangular groups which explains the
  alternative definition as basic characters.\n
LOCATION:https://researchseminars.org/talk/ENAAS/103/
END:VEVENT
END:VCALENDAR