BEGIN:VCALENDAR VERSION:2.0 PRODID:-//wp-events-plugin.com//7.2.3.1//EN TZID:Europe/Paris X-WR-TIMEZONE:Europe/Paris BEGIN:VEVENT UID:5064@i2m.univ-amu.fr DTSTART;TZID=Europe/Paris:20240222T170000 DTEND;TZID=Europe/Paris:20240222T180000 DTSTAMP:20240524T072506Z URL:https://www.i2m.univ-amu.fr/evenements/tba-75/ SUMMARY: (...): Congruent numbers and elliptic curves DESCRIPTION:: The problem of congruent is incredibly basic:  which are the numbers that are the area of a right triangle with rational edges? \n\nWe needed a single line to state the problem\, but we would need a complete book to give only a conjectural solution.\n\n \n\nThe goal of this talk i s to explain the first ideas of the solution\, that is: translating this p roblem 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 an d the modularity theorem\, analytic object associated to elliptic curves i n connection with the so called modular forms.\n\n \;\n\n\n\nLe sémin aire des doctorant⋅es de l'I2M et du CPT à Luminy regroupe chaque semai ne 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 d e master et aux doctorant⋅es d'autres laboratoires.\n\nPour le moment\, le séminaire a lieu dans la salle 500-504b du TPR2\, au 5ème étage. CATEGORIES:Séminaire,Rencontres doctorant⋅es I2M-CPT LOCATION:Luminy - salle 500-504b\, Aix-marseille université-faculté des s ciences\, campus Luminy\, Marseille\, France X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Aix-marseille université-f aculté des sciences\, campus Luminy\, Marseille\, France;X-APPLE-RADIUS=1 00;X-TITLE=Luminy - salle 500-504b:geo:0,0 END:VEVENT BEGIN:VTIMEZONE TZID:Europe/Paris X-LIC-LOCATION:Europe/Paris BEGIN:STANDARD DTSTART:20231029T020000 TZOFFSETFROM:+0200 TZOFFSETTO:+0100 TZNAME:CET END:STANDARD END:VTIMEZONE END:VCALENDAR