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SUMMARY:17T7 as a Galois group over Q through Hilbert modular forms - Raym
 ond van Bommel (Bristol)
DTSTART:20250211T143000Z
DTEND:20250211T153000Z
UID:TALK225655@talks.cam.ac.uk
CONTACT:Rong Zhou
DESCRIPTION:The inverse Galois problem asks whether every finite group can
  be realised as the Galois group of a finite Galois extension of Q. For a 
 long time\, the so-called group 17T7\, acting transitively on a set of 17 
 elements\, was the smallest group in the transitive group ordering for whi
 ch no such extension of Q was known. In this talk\, I will describe joint 
 work with Edgar Costa\, Noam Elkies\, Timo Keller\, Sam Schiavone\, and Jo
 hn Voight\, in which we use certain Hilbert modular forms to find such an 
 extension.
LOCATION:MR13
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