Congruent numbers and elliptic curves
Date(s) : 22/02/2024 iCal
17h00 - 18h00
The problem of congruent is incredibly basic: which are the numbers that are the area of a right triangle with rational edges?
We needed a single line to state the problem, but we would need a complete book to give only a conjectural solution.
The goal of this talk is to explain the first ideas of the solution, that is: translating this problem into a problem about elliptic curves, and introducing some of the basic notion of the theory of elliptic curves. If time allows it (and I will try my hardest to make sure it does) I will talk about L-functions and the modularity theorem, analytic object associated to elliptic curves in connection with the so called modular forms.
Le séminaire des doctorant⋅es de l’I2M et du CPT à Luminy regroupe chaque semaine les doctorant⋅es du site autour d’un exposé plus ou moins (in)formel, dans un cadre convivial. Il est évidemment ouvert aux étudiant⋅es de master et aux doctorant⋅es d’autres laboratoires.
Pour le moment, le séminaire a lieu dans la salle 500-504b du TPR2, au 5ème étage.
Emplacement
Luminy - salle 500-504b
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