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SUMMARY:Rationality Questions for Finite Reductive Groups - Jay Taylor (Un
 iversity of Manchester)
DTSTART:20220513T090000Z
DTEND:20220513T095000Z
UID:TALK172841@talks.cam.ac.uk
DESCRIPTION:Each (complex) irreducible character of a finite group determi
 nes a subfield of the complex numbers called its character field. This is 
 the smallest subfield containing all character values. One can then ask wh
 ether there exists a representation of the group affording the character a
 ll of whose matrix entries are contained in the character field. Such a re
 presentation need not exist in general and the failure of such a represent
 ation to exist is measured by the Schur index.&nbsp\;In this talk we will 
 discuss results around character fields and Schur indices in the case wher
 e the group is a finite reductive group.
LOCATION:Seminar Room 1\, Newton Institute
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