Instructional
Workshop:
Automorphic
Galois Representations,
L-functions and Arithmetic
Columbia University
June
17th to 22nd, 2006
The
following
speakers
have confirmed
their participation to the workshop:
Don Blasius
(Los Angeles), Joel Bellaiche (New York), Ching-Li Chai (Philadelphia), Mirela Ciperiani (New York), Laurent Clozel (*)(Orsay), James
Cogdell
(Columbus), Guido
Kings (Regensburg),
Hervé Jacquet (New
York), Michael
Harris (*) (Paris), Haruzo
Hida
(Los Angeles), Erez Lapid
(Jerusalem), Jian-Shu
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.
List of
Registered Participants
Some
of the Lecture Notes Available Here !
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.
Instructional themes:
1)
Deligne's conjectures on special values of
L-functions.
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.
Organizers
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
of
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.
Support: We
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
letter
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.