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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Unisingular irreducible representations of  finite
  groups of Lie type in the natural characteristic 
 - Alexandre Zalesski (University of East Anglia)
DTSTART;TZID=Europe/London:20220707T160000
DTEND;TZID=Europe/London:20220707T170000
UID:TALK175421AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/175421
DESCRIPTION:A linear representation $\\rho$ of a group $G$ is 
 called {\\it unisingular} if every element of $G$ 
 has eigenvalue 1. We are interested with the class
 ification problem of unisingular representations $
 \\rho$ for finite simple groups. In this talk we f
 ocus on the case where $G$ is a group of Lie type 
 and $\\rho$ is an irreducible representation over 
 an algebraically closed field whose characteristic
  coincides with the defining characterisitic of $G
 $. There are a number of precise results and suffi
 cient conditions to be discussed\, and of open pro
 blems.\n&nbsp\;
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:
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