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UID:1fe25feba6a7c16eb595434a82b5331c
CATEGORIES:Algebra Seminar
CREATED:20240917T144926
SUMMARY:Algebra Seminar
LOCATION:Hill 705
DESCRIPTION:Algebra Seminar Wednesday at 2PM in H705\n On a question of Feit (Robert Bo
 ltje, Sept.18, 2024)\n In 1979 Feit asked the following question: Let χ be 
 an irreducible character of a finite group G and let $n$ be the conductor o
 f χ, i.e., the smallest positive integer $n$ such that all values of χ can 
 be expressed as a rational linear combination of $n$-th roots of unity. Doe
 s this force G to have an element of order $n$? \n Feit's question has been
  answered positively for solvable groups in 1986 by Ferguson and Turull, an
 d independently by Amit and Chillag. Little progress has been made in the f
 ollowing decades. This talk reports on recent advances on this question in 
 joint work with Alexander Kleshchev, Gabriel Navarro and Pham Huu Tiep.\n \
 n \n \n
X-ALT-DESC;FMTTYPE=text/html:<p>Algebra Seminar Wednesday at 2PM in H705<br> <strong>On a question of Fe
 it (Robert Boltje, Sept.18, 2024)</strong><br> In 1979 Feit asked the follo
 wing question: Let χ be an irreducible character of a finite group G and le
 t $n$ be the conductor of χ, i.e., the smallest positive integer $n$ such t
 hat all values of χ can be expressed as a rational linear combination of $n
 $-th roots of unity. Does this force G to have an element of order $n$? <br
 > Feit's question has been answered positively for solvable groups in 1986 
 by Ferguson and Turull, and independently by Amit and Chillag. Little progr
 ess has been made in the following decades. This talk reports on recent adv
 ances on this question in joint work with Alexander Kleshchev, Gabriel Nava
 rro and Pham Huu Tiep.</p><p>&nbsp;</p><p>&nbsp;</p><h3><a></a><span style=
 "color: red;"></span></h3><p>&nbsp;</p>
DTSTAMP:20260829T124407
DTSTART;TZID=America/New_York:20240918T140000
DTEND;TZID=America/New_York:20240918T150000
SEQUENCE:0
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