Séminaires : Phd Seminar - Séminaire des doctorant.e.s

Equipe(s) : doctorants,
Responsables :Salim Alloun, Pedro Alves, Baptiste Dugué, Brian Flanagan, Ivory Fronteau, Kostyantyn Krutoy
Email des responsables :
Salle :
Adresse :
Description

Le séminaire des doctorant.e.s est l'occasion pour les doctorant.e.s de présenter des résultats et des problématiques dignes d'intérêt devant un public de non-spécialistes. L'ambiance y est informelle ; poser des questions naïves est encouragé, et les questions moins naïves sont bienvenues dans la mesure où elles n'entravent pas le bon déroulement de l'exposé.

Chaque jeudi à 18h, en alternance entre Jussieu et Sophie Germain.

The PhD seminar is an opportnuity for PhD students to present results and topics worthy of interest in front of a non-specialist audience. The mood is informal ; asking naive questions is highly encouraged and less naive questions are also welcomed, as long as they don't intefere with the smoothness of the talk.

Every Thursday at 6pm, alternating between Jussieu and Sophie Germain.


Orateur(s) Lorenzo Andreaus - IMJ-PRG,
Titre Diophantine Geometry: Problems and Techniques
Date25/06/2025
Horaire18:00 à 19:00
Diffusion
Résume

Diophantine geometry is the branch of number theory whose aim is to solve Diophantine equations through algebraic geometric techniques. One can prove that the number of solutions of a Diophantine equation is fundamentally related to the genus of the corresponding variety. In this talk, I will discuss some of the main results in this area, as Faltings' Theorem, Siegel‘s Theorem, Mordell-Weil Theorem, and Bogomolov Conjecture, and introduce the key techniques used in their proofs, namely heights in algebraic varieties.

Salle15-16-413
AdresseJussieu
© IMJ-PRG