Previous Ateliers:

2015 (Bordeaux), 2016 (Grenoble), 2017 (Lyon) 2017b (Clermont-Ferrand) 2017c (Oujda)

Welcome to Atelier PARI/GP 2018 (Besançon)

Available rooms for work in smaller groups:

320 B (except Wednesday 15:00-18:00)

324 B1

324 B2 (except Thursday 15:00-16:30)

Tutorials

New features

Tasks

• doctesting Finished misc section.

• ECPP

• Use L-function functionality from PARI in Sage; requires a review of current Sage functionality (Jeroen) Tried to replace Lcalc but eventually realized it was not a good idea.

• Hyperelliptic curves over finite fields and the rationals (Nicolas) Working on 2-descent. Maybe getting something by the end of the week.

• Point counting on elliptic curves and improvements on elliptic curves over finite fields (Jean-Pierre, Cyril, Vincent) Made a patch, already included.

• p-adic number field embeddings and regulator (Razvan, Xavier C.) First version of the p-adic regulator. Working for Galois fields, extending to general case.

• Coefficients of Hecke eigenforms of half-integral weight and Eisenstein series; doctesting of mf* (Ilker)

• Little delta function by Zagier (Zeynep)

• Dedekind eta function (Banu)

• Modular forms and symbols (François, Bernadette)

• Improve PARI-GNUMP (Andreas, Fredrik) and maybe use it in SageMath? (Jeroen)
  New name: PariTwine
  Autotools support works, detecting the available libraries to wrap
  GP script for inclusion of appropriate functions created
  Texinfo documentation started (so far, only installation instructions)
  Some discussions with Jeroen about code organisation to be compatible with Sage
  Next steps: finish documentation, wrap more functions, check the tests
  Expected outcome: release 0.1

• Modular forms help centre (Henri)

• Sato-Tate conjecture (Zakariae)

• Theta functions (Enea)

• ECPP (Luca)

• p-adic L-functions (Xavier R.)

• Algebra package (Aurel)

• Infinite order Hecke characters (Aurel, Pascal)

• Theta series of quadratic forms (Elif)