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8th Atelier PARI/GP 2017b

(Laboratoire de mathématiques Blaise Pascal de l'université Clermont Auvergne, Clermont-Ferrand, June 19th to 23rd, 2017)

This workshop focuses on Elliptic curves, Modular Forms and L-Functions in the PARI/GP system.

Organizers: Bill Allombert (Bordeaux), Karim Belabas (Bordeaux), Nicolas Billerey (Clermont), Pierre Lezowski (Clermont), Emmanuel Royer (Clermont).

Announcements:

The Atelier wiki (no account required) is available for coordinating the hacking session.
Registration to the Atelier is on Monday, June 19th from 9:00 to 9:30am in Amphi Hennequin, 1st floor of Laboratoire de mathématiques Blaise Pascal. The atelier will start at 9:30am.
On the first day of the conference all non-local participants will receive a pass of the local transportation company (T2C) that will allow them to freely use the tram and buses during the whole week.
The Atelier will take place in Amphi Hennequin, 1st floor of Laboratoire de mathématiques Blaise Pascal.
There will be a conference dinner on Wednesday, June 21st at 8pm at Restaurant La Suite.

Monday, June 19th.

9:00 - 9:30	Welcome to participants
9:30 - 10:00	Karim Belabas	[Tutorial] Initiation to PARI/GP \| Code
10:00 - 10:20	Coffee break
10:20 - 10:50	Karim Belabas	[Tutorial] Initiation to PARI/GP (continued) \| Code
10:50 - 11:30	Bill Allombert	[Tutorial] Installing PARI GIT version \| Code
11:30 - 12:00	Andreas Holmstrom and Torstein Vik	Operations on multiplicative functions
14:00 - 14:15	Doctest planning
14:15 - 14:45	Problem suggestion
14:45 - 15:00	Hacking session planning
15:00 - 18:00	Hacking session

Tuesday, June 20th.

9:30 - 10:00	Nicolas Billerey	Isogenies of prime degree of elliptic curves over number fields \| Code
10:10 - 10:40	Coffee break
10:40 - 12:00	Bill Allombert	[Tutorial] Elliptic curves \| Code
12:00 - 14:00	Lunch
14:00 - 14:30	Hacking session status report
14:30 - 18:00	Hacking session

Wednesday, June 21st.

9:30 - 10:00	Pascal Molin	Using approximate functional equations to build L functions
10:10 - 10:40	Coffee break
10:40 - 12:00	Karim Belabas & Bill Allombert	[Tutorial] L functions / Code \| Artin L functions / Code
12:00 - 14:00	Lunch
14:00 - 14:30	Hacking session status report
14:30 - 17:30	Hacking session
18:00 - 19:00	Presentation of Pascaline at Musée Lecoq	Pascaline is the first mechanical computer (invented by Blaise Pascal)
20:00	Conference Dinner at Restaurant La Suite	16 Rue Saint-Adjutor, Clermont-Ferrand

Thursday, June 22nd.

9:30 - 10:00	Alexander Rahm	Genuine Bianchi modular forms for PARI/GP
10:10 - 10:30	Coffee break
10:30 - 10:40	Group Photo
10:40 - 12:00	Henri Cohen	[Tutorial] Modular forms \| Code
12:00 - 14:00	Lunch
14:00 - 14:30	Hacking session status report
14:30 - 18:00	Hacking session

Friday, June 23rd.

9:30 - 10:00	Devika Sharma	Modular Galois representations
10:00 - 10:20	Coffee break
10:20 - 10:50	Dino Destefano	Congruences between modular forms of level 1
10:50 - 11:20	Sudarshan Shinde	Finding ECM friendly curves: A Galois approach
11:20 - 12:00	Debriefing
12:00 - 14:00	Lunch
14:00	End of Workshop
14:00 - 18:00	Extra hacking session, if people are still around :-)

Funding:

This workshop is funded by the Horizon 2020 ERI project OpenDreamKit, the GDR STN, Université Clermont Auvergne, Conseil Régional Auvergne-Rhône-Alpes, Conseil Départemental Puy-de-Dôme, and the city of Clermont-Ferrand.

This project has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement N°676541 OpenDreamKit.

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