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.

Official language of the school: English

Administrative and scientific coordinators

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

Scientific program

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

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

Course 3: "Modular Forms", Laura Geatti (Università di Roma Tor Vergata, Italy) and Valentijn Karemaker (Utrecht University, Netherlands)

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

Course 5: "Explicit Class Field Theory", René Schoof (Università di Roma Tor Vergata, Italy) and Peter Stevenhagen (Leiden Universiteit, Netherlands)

Website of the school

How to participate

For registration and application to a CIMPA financial support, follow the instructions given here

Deadline for registration and application: October 1, 2022

Deadline for registration and application: October 1, 2022