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UID:5873@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20221124T120000
DTEND;TZID=Europe/Paris:20221124T130000
DTSTAMP:20241120T200644Z
URL:https://www.i2m.univ-amu.fr/evenements/the-modular-approach-for-solvin
 g-xryrzp-over-totally-real-number-fields/
SUMMARY:Diana Mocanu (University of Warwick): The modular approach for solv
 ing $x^r+y^r=z^p$ over totally real number fields
DESCRIPTION:Diana Mocanu: will first introduce the modular method for solvi
 ng Diophantine Equations\, famously used to prove the Fermat Last Theorem.
  Then\, we will see how to generalize it for a totally real number field $
 K$ and a Fermat-type equation $Aa^p+Bb^q=Cc^r$ over $K$. We call the tripl
 e of exponents $(p\,q\,r)$ the signature of the equation. We will see vari
 ous results concerning the solutions to the Fermat equation with signature
 s $(r\,r\,p)$ (fixed r). This will involve image of inertia comparison and
  the study of certain $S$-unit equations over $K$.\n \n\n\nSite : \nhtt
 ps://sites.google.com/view/samuele-anni/home/s%C3%A9minaire-ati?authuser=0
 \n\n[su_spacer size="10"]\nRendez-vous à côté de la machine à café au
  rez-de-chaussée de l'ancienne BU.\n[su_spacer size="10"]\n\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 022/09/Diana_Mocanu.png
CATEGORIES:Séminaire,Arithmétique et Théorie de l’Information
LOCATION:Luminy\, Campus des Sciences de Luminy\, Marseille\, 13009\, Franc
 e
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Campus des Sciences de Lumi
 ny\, Marseille\, 13009\, France;X-APPLE-RADIUS=100;X-TITLE=Luminy:geo:0,0
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