Introduction to Galois Representations and Modular Forms and their Computational Aspects






The school aims to introduce graduate students and young researchers to key topics in algebraic number theory and arithmetic geometry and their computational aspects. Modular forms and elliptic curves will be central, with a view towards Galois representations, complex multiplication and class field theory. Understanding of the abstract theory will be facilitated by an explicit and algorithmic approach, through an interactive approach where we will make use of freely available computer algebra systems. The participants will be provided with an introduction to the basic material that before proceeding to the more advanced topics.

Langue officielle de l'école : anglais

Coordinateurs administratifs et scientifiques

Julius Basilla (University of the Philippines Diliman,
, )
Marusia Rebolledo (Université Clermont Auvergne,
, )

Programme scientifique

Cours 1: "Number Theoretical Background", Ila Varma (Toronto University, Canada) and Richell Celeste (University of the Philippines Diliman, Philippines)

Cours 2: "Elliptic Curve with Complex Multiplication", Jerome T. Dimabayao (University of the Philippines Diliman, Philippines) and Michel Waldschmidt Sorbone Université, France)

Cours 3: "Modular Forms", Laura Geatti (Università di Roma Tor Vergata, Italie) and Valentijn Karemaker (Utrecht University, Pays Bas)

Cours 4: "Galois Representations Associated do Elliptic Curves and Modular Forms", Marusia Rebolledo (Université Clermont Auvergne, France)

Cours 5: "Explicit Class Field Theory", René Schoof (Università di Roma Tor Vergata, Italie) and Peter Stevenhagen (Leiden Universiteit, Pays Bas)

Site internet de l'école

Comment participer

Pour s'inscrire et candidater à un financement CIMPA, suivre les instructions données ici.

Date limite d'inscription et de candidature : 1er octobre 2022

Date limite d'inscription : octobre 1, 2022