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UID:news1269@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20211201T103850
DTSTART;TZID=Europe/Zurich:20211209T170000
SUMMARY:Number Theory Web Seminar: Samir Siksek (University of Warwick)
DESCRIPTION:The asymptotic Fermat conjecture (AFC) states that for a number
  field K\, and for sufficiently large primes p\, the only solutions to the
  Fermat equation X^p+Y^p+Z^p=0 in K are the obvious ones. We sketch recent
  work that connects the Fermat equation to the far more elementary unit eq
 uation\, and explain how this surprising connection can be exploited to pr
 ove AFC for several infinite families of number fields. This talk is based
  on joint work with Nuno Freitas\, Alain Kraus and Haluk Sengun.\\r\\nFor 
 further information about the seminar\, please visit this webpage [https:/
 /www.ntwebseminar.org/].
X-ALT-DESC:<p>The asymptotic Fermat conjecture (AFC) states that for a numb
 er field K\, and for sufficiently large primes p\, the only solutions to t
 he Fermat equation X^p+Y^p+Z^p=0 in K are the obvious ones. We sketch rece
 nt work that connects the Fermat equation to the far more elementary unit 
 equation\, and explain how this surprising connection can be exploited to 
 prove AFC for several infinite families of number fields. This talk is bas
 ed on joint work with Nuno Freitas\, Alain Kraus and Haluk Sengun.</p>\n<p
 >For further information about the seminar\, please visit this <a href="ht
 tps://www.ntwebseminar.org/">webpage</a>.</p>
DTEND;TZID=Europe/Zurich:20211208T180000
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