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SUMMARY:Generalized Fermat equations with three distinct prime exponents [
 MPIM]
DTSTART:20250402T123000Z
DTEND:20250402T133000Z
DTSTAMP:20260721T130600Z
UID:indico-event-298@math-events.uni-bonn.de
DESCRIPTION:Speakers: Sander Dahmen (VU University of Amsterdam)\n\nNumber
  theory lunch seminar\nWe consider the problem of solving $x^p+y^q=z^r$ in
  nonzerocoprime integers x\,y\,z in the notorious case when the exponent t
 riple(p\,q\,r) consists of three distinct primes other than (2\,3\,q). We 
 focusin particular on the cases (p\,q\,r)=(2\,5\,7) or (3\,5\,7)\, where p
 artialresolutions can be obtained\, i.e. solutions under stringent congrue
 nceconditions. The techniques used involve Hunter searching of numberfield
 s aided by computing p-adic étale algebras\, and determiningrational poin
 ts on curves. This contains joint work with Samir Siksekand Casper Putz.\n
 \nhttps://math-events.uni-bonn.de/event/298/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/298/
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