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# Previous Ateliers:
[2015 (Bordeaux)](Atelier%202015),
[2015 (Bordeaux)](Atelier%202015),
[2016 (Grenoble)](Atelier%202016),
[2017 (Lyon)](Atelier%202017)
# [Welcome to Atelier PARI/GP 2017b (Clermont)](http://pari.math.u-bordeaux.fr/Events/PARI2017b/)
## Tutorials
## New features
### Genuine Bianchi modular forms for Pari/GP :
Alexander D. Rahm wants to find out if there is interest in a script for the Pari/GP scripts library, computing dimensions of genuine Bianchi modular forms.
Details will be given in his talk on Thursday morning, summarized here :
http://math.uni.lu/~rahm/genuine_Bianchi_modular_forms_in_PARI-GP.txt
## Tasks
- [Doctesting-2017b]() (Karim Belabas)
- Everything and anything (Karim, Bill, Henri)
<<<<<<< edited
- Rational points on elliptic and hyperelliptic curves over Q_p (Devika, Nicolas)
- Doctesting done. Improved my own code on p-adic modular forms with the new functions. Now running some tests for a conjecture of mine relative to minimal slopes of p-adic modular forms for p=5. (Dino D.)
=======
Lots of progress!
- Rational points on elliptic and hyperelliptic curves over Q_p (Devika, Nicolas M., Pascal)
Nicolas gas implemented 2-descent for hyperelliptic curves in the simplest case.
The plan is to use it to do Chabauty style work and determine all rational points.
- Clean and maybe improve my own code on p-adic modular forms with the new functions (Dino D.)
>>>>>>> c98cf94ff8622e2c40cc517da3151a7c44dadad1
- ECPP (Jared, Jean-Pierre)
<<<<<<< edited
tuning and experiments running
decomposition of the Galois towers is still missing
- PARI-GNUMP (Andreas E., Fredrik)
autotools support is ready
a preliminary interface with arb has been written; the exact semantics needs to be decided
=======
1. currently experimenting in plafrim
2. looking to implement Galois decomposition to be able to get roots for class polynomials which are b-smooth where b is small (b <= 32)
- PARI-GNUMP (Andreas E.)
>>>>>>> 7a5d5272c9b6e4807ff544b4d688de399adcfc76
- Generalise ellisomat to curves over number fields (Nicolas B.)
Bill has extended ellisomat
inclusion of Nicolas's script is on-going
CM curves still pose problems
- Tannakian symbols and multiplicative functions (Torstein, Andreas H.)
some functions have been translated from Sage to GP and are running faster now
- Improve GP scripts for inclusion into PARI/GP: points on elliptic curves over Q using 2-descent (Denis)
the code (ell2descent) has been imported into a git repository on the pari server
an open problem is to determine linear combinations of points with finally small coefficients: use real embeddings or modular arithmetic
- documentation of modular symbols and forms (Bernadette)
- statistics of Frobenius actions of curves over finite fields (Florent)
- revive the git branch of the Wednesday talk (Pascal)
- encrypted matrix multiplication with Paillier cryptosystem (Matthieu)
- fundamental units of totally complex quartic fields (祝辉林)
- iterators over fundamental discriminants (Jared)
- functions for modular curves (Antonin)
- dimensions of Bianchi modular forms (Alexander)
- Finding the rational expression for the generating function of a given linearly recursive sequence. Application: Recognizing reciprocity laws (Olav, Magnus)
- Computing Meissel-Mertens constants for abelian number fields (Alex M., Preben)
- 2-descent on hyperelliptic curves over Q (Nicolas M.)
[2017b (Clermont-Ferrand)](Atelier%202017b)
[2017c (Oujda)](Atelier%202017c)
[2018 (Besançon)](Atelier%202018)
[2018b (Roma)](Atelier%202018b)
[2019 (Bordeaux)](Atelier%202019)
[2019b (Roma)](Atelier%202019b)
[2020 (Grenoble)](Atelier%202020)
[2021b (Oujda)](Atelier%202021b)
[2022 (Besançon)](Atelier%202022)
[2023 (CIRM)](Atelier%202023)
[2024 (Lyon)](Atelier%202024)
# [Welcome to Atelier PARI/GP 2024b (Lyon)](http://pari.math.u-bordeaux.fr/Events/PARI2024b/)
## Planning for PARI/GP 2.10
- Lorenzo: Exercises, continued fractions
- Bernadette: Exercices (algebraic number theory), Thue equations
- Federico: Exercises (ANT, Galois theory)
- Pip: Exercises (ANT), class field theory, modular forms
- Jessica: Exercises (ANT, Galois theory), elliptic curves
- Safia: Algebraic number theory, Polya quadratic fields, subgroups of class
groups
- Suman: Algebraic number theory, exercises (ANT, ramification)
- Roslan: Linear algebra, algebraic number theory, class field theory (future:
S-class groups)
- Luca,Nicola,Francesco: Weil height for projective spaces: implemented! (need
tests, reduce factorisation)