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SUMMARY:Unisingular irreducible representations of  finite groups of Lie t
 ype in the natural characteristic - Alexandre Zalesski (University of East
  Anglia)
DTSTART:20220707T150000Z
DTEND:20220707T160000Z
UID:TALK175421@talks.cam.ac.uk
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 classification problem of unisingular representations $\\rho$ for
  finite simple groups. In this talk we focus on the case where $G$ is a gr
 oup of Lie type and $\\rho$ is an irreducible representation over an algeb
 raically closed field whose characteristic coincides with the defining cha
 racterisitic of $G$. There are a number of precise results and sufficient 
 conditions to be discussed\, and of open problems.\n&nbsp\;
LOCATION:Seminar Room 2\, Newton Institute
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