Third CICMA-CRM Far Hills Workshop

L-functions and p-adic cohomology: computational perspectives

Organizers: Henri Darmon and Jonathan Pila (McGill)

This workshop will focus on issues surrounding the effective calculation of:

zeta-functions of varieties over finite fields and of motives attached to modular forms using techniques arising from l-adic and p-adic cohomology;

p-adic L-functions attached to elliptic curves, modular forms, and associated Hida families.

The workshop takes place at Far Hills Inn on January 1-4, 2004. It is financed by the Centre de Recherches Mathematiques and CICMA. The number of participants is limited due to the Inn's size. Limited financial assistance is available.

Please contact Henri Darmon at or Jonathan Pila at if you are interested in participating.

Location of the Workshop.
List of participants.

Location of the Workshop.
The workshop takes place at the Far Hills Inn, located in the Laurentians, 1 hour's drive from Montreal.
Transportation to and from downtown Montreal for people arriving January 1 and leaving January 4 will be provided by the organizers.

Far Hills Inn is famous for its cross-country ski trails park, its guest services and its cuisine. Participants of the workshop will have access to all facilities, including a ski pass. Rental and ski lessons are available on location.

CDN$   88 + taxes per night, per person, based on double occupancy.
CDN$ 108 + taxes per night, per person, based on single occupancy.
All (three) meals (+ coffee breaks) are included in this price. Additional refreshments are not included.
Far Hills Inn offers the same (very attractive) rate for spouses and for early arrival or stay after the conference.

The conference rooms are equipped with a blackboards, a flip chart and an overhead projector (laptop presentations are not possible).
Small conference rooms for discussion are available.
Bar, indoor swimming pool, sauna, cross county ski, lounge, pool table.
Telephones in all rooms (internet via phone).

Inn information:
tel: (819) 322-2014 (From Montréal: (514) 990-4409, Canada and U.S.A.: 1 (800) 567-6636)
fax: (819) 322-1995
address: Far Hills Inn,  3399, chemin Far Hills, Val-Morin (Québec), Canada J0T 2R0

List of participants

Gil Alon (CICMA), Benoit Arbour (CICMA), Andrew Archibald (CICMA), Nils Bruin (SFU), Celia Busuioc (BU), Hugo Chapdelaine (CICMA), Gabriel Chenevert (CICMA), Pete Clark (CICMA), Henri Darmon (McGill), Samit Dasgupta (Berkeley), Noam Elkies (Harvard), Jordan Ellenberg (Princeton), Jack Fearnley (CICMA), Luis Finotti (UCSB), Alex Ghitza (CICMA), Eyal Goren (McGill), Matt Greenberg (CICMA), Robert Harron (CICMA), Adrian Iovita (Concordia), Payman Kassaei (CICMA), Kiran Kedlaya (MIT), Ratnanda Kolhatkar (CICMA), Jean-Francois Mestre (Paris VII), Marc-Hubert Nicole (McGill), Gwisoon Kate Paek (McGill), Vincent Pasol (BU), Jonathan Pila (McGill), Robert Pollack (Chicago), Anupam Saikia (CICMA), David Savitt (CICMA), Glenn Stevens (Boston University), Mak Trifkovic (CICMA), Gabor Wiese (Leiden), Hui June Zhu (McMaster).

Arrival to the workshop is on Thursday, January 1, 2004 in the late afternoon, and departure on Sunday, January 4, 2002 at  noon. Late arrival or early departure are not recommended.
People should arrive on January 1 to McGill Mathematics Department, 805 Sherbrooke St. West,  to the lounge on the 10th floor. We will depart from there by Bus at 17:00 the latest. In case of delay please make every effort to inform the organizers. We shall leave the Far Hills hotel on January 4 around noon. It is highly recommended that you schedule a Sunday afternoon or night flight. Transportation will be provided from Far Hill to Dorval.

Scientific Program

Friday, January 2
9:00-10:00. Jonathan Pila. Elladic systems and algorithms.
10:15-11:15. Kiran Kedlaya. p-adic computation of zeta-functions: an overview.
11:30-4:00. Lunch break.
4:00-4:30. Tea.
4:30-5:30. Jean-Francois Mestre. Moyenne arithmético-géométrique et fonctions zeta de variétés abéliennes sur un corps fini.
5:45-6:45. Adrian Iovita. Generalised (phi,Gamma)-modules.

Saturday, January 3
9:00-10:00. Glenn Stevens. p-adic L-functions and the evil twin, I.
10:15-11:15. Robert Pollack. p-adic L-functions and the evil twin, II.
11:30-4:00. Lunch break.
4:00-4:30. Tea.
4:30-5:30. Kiran Kedlaya. p-adic cohomoogy and hyperelliptic curves
5:45-6:45. Hui June Zhu. Families of cristalline representations

Sunday, January 4
9:00-10:00. Gabor Wiese Computations of mod p modular forms of weight one.
10:00-11:00. Noam Elkies. Computations with the arithmetic of quadratic twists.
11:-12:00. Lunch.
12:00. Departure from Far Hills by bus.