L-functions and Arithmetic
June 17th to 22nd, 2006
their participation to the workshop:
(Los Angeles), Joel Bellaiche (New York), Ching-Li Chai (Philadelphia), Mirela Ciperiani (New York), Laurent Clozel (*)(Orsay), James
Hervé Jacquet (New
Harris (*) (Paris), Haruzo
(Los Angeles), Erez Lapid
Li (Hong Kong),
Fabio Mainardi (Leiden), Omer Offen (Jerusalem), Chris
Skinner (Ann Arbor), Eric
Urban (New York), Vinayak
Vatsal (Vancouver), Shou-Wu
Zhang (New York).
(*) Participation by
video conference from Paris (Chevaleret) on June 22nd from 9:30 to 1pm.
Banquet: We will have special moment during this week, on Wednesday 21st, as a Banquet sponsored by the Math department will be held in Honor of Hervé Jacquet at the Faculty House. If you want to attend, please register to Laurent Breach.
Description of the workshop: Connections between $L$-functions and Galois representations are at the heart of modern research in algebraic number theory and arithmetic geometry. They are encoded, for-example, in the Bloch-Kato conjectures and their $p$-adic analogues, the Iwasawa-Greenberg main conjectures. Recent years have seen many developments, especially in the application of automorphic methods to these problems. The aim of this instructional workshop is to bring together students and specialists in hopes of inspiring further research and progress in the direction of the above conjectures. The conference will have two parts. The mornings will be devoted to instructional talks on the themes listed below, while the afternoons will consist of talks on recent developments.
Deligne's conjectures on special values of
2) The Bloch-Kato and Iwasawa-Greenberg conjectures.
3) Eisenstein series.
4) Integral representations of L-functions.
5) Hida theory, Construction of p-adic L-functions, the Eisenstein ideal method.
6) Non-vanishing modulo p of special values.
7) Automorphic Galois representation.
and funding: Don Blasius, Haruzo
Hida, Chris Skinner and Eric Urban. This workshop
is partly funded by the NSF as part of the FRG of the
organizers and by the Department
Mathematics of Columbia University.
Registration: To attend the workshop you need to register. The deadline for registration, travel lodging or support is February 14, 2005. After this date, it will be more difficult to get you the support or the lodging you would need for attending the workshop.
have some funding to support the participation of PhD students
(travel and/or lodging). To be able to accomod a maximum of students,
we hope that their advisor could help in supporting their airfare. If
you want to apply for some support, you must send a CV and a
of recommendation from your advisor to Eric
Urban. Please precise if you need support for travel and lodging or
for lodging only.
Travel and Lodging: The following informations might be useful in order to plan your travel. The actual start of the conference is Saturday 17th and the last talk will be early in the afternoon of the 22nd in case participants want to catch an early flight. The funded students will be automatically put up at Teachers College Housing or at the Milburn Hotel. Any other participants who need accomodation can also be housed at the same place. If you want to do so, please contact the local organizer.