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Front Page
Previous Ateliers:
2015 (Bordeaux), 2016 (Grenoble), 2017 (Lyon)
Welcome to Atelier PARI/GP 2017b (Clermont)
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)
- PARI-GNUMP (Andreas E.)
- Generalise ellisomat to curves over number fields (Nicolas B.)
- Tannakian symbols and multiplicative functions (Torstein, Andreas H.)
- Improve GP scripts for inclusion into PARI/GP: points on elliptic curves over Q using 2-descent (Denis)
- 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 number fields (Alex M., Preben)
- 2-descent on hyperelliptic curves over Q (Nicolas M.)