Workshop on L-functions and Modular Forms 2
Projects
Where Groups are meeting
- Classical modular forms -- 423 Padelford
Reimbursement
Here is information about reimbursement.
Schedule
The schedule is here.
Organizers:
Brian Conrey, Michael Rubinstein, William Stein
Location:
Math building (Padelford) Campus maps Room C036. It is one level down from the level when you walk into the building.
NOTE: we are meeting in the math building and *not* the mechanical engineering building as posted previously.
University of Washington, Seattle, June 23-27 2008.
The workshop will commence each day at 9 a.m..
Accomodations:
We have reserved many rooms at the Collegiana Inn, 4311 12th Ave NE, Seattle, WA 98105. Here is a map.
Confirmed Participants:
Andrew Booker
Iftikhar Burhanuddin [did not attend]
Brian Conrey
Lassina Dembélé
Noam Elkies
David Farmer
Alex Ghitza
Dennis Hejhal
Ghaith Hiary
Kiran Kedlaya (canceled)
Stefan Lemurell
Nicole Raulf
Michael Rubinstein
Nathan Ryan
Nils-Peter Skoruppa
William Stein
Fredrik Strömberg
Holger Then
Gonzalo Tornaría
Mark Watkins
Confirmed student participants
Ce Bian [did not attend]
Salman Butt
Craig Citro
David Platt
R. Rishikesh
Shuntaro Yamagishi
Topics
1) Maass form algorithms for Gl(2) and GL(3) . This is to follow up on exciting new developments. Booker and his student Brian just found the first examples of GL(3) Maass forms, and we'd like to explore their method and also a somewhat different approach of Farmer, Koutsoliotas, and Lemurell that has potential.
For classical Maass forms we'd like to organize all existing methods/data/software and work on extending that further.
2) Algorithms for classical modular forms including related elliptic curves algorithms and related exact linear algebra. Weight 1 modular forms. Modular abelian varieties.
3) Certification (i.e. rigorous computations) for degree 1 L-functions and for GL(2) Maass forms.
4) Hilbert modular form and Siegel modular form algorithms.
5) Analytic algorithms related to the explicit formula and smoothed approximate functional equation.
6) Making a working prototype of our software/data archive and reviving our L-function and modular form wiki.
Goals
The rough plan for the workshop is to get things moving on our frg project, with a focus on the topics that we have listed in our invitation letter and have also duplicated on the workshop homepage.
For a broad picture of the ambitions for our project, please read the pdf file available on the school page.
The workshop will be a good opportunity to consult with others, and contribute ideas, code, data, and sweat.
We would like to have, at the end of our workshop, a working prototype of our data/software archive full of nice data organized according to some decisions that we made last summer. To name a few things, we would like to incorporate thousands of Maass forms for GL(2), a few Maass forms for GL(3), some Siegel modular forms, existing tables of classical modular forms, and have L-function data, such as tables of zeros and special values for many of these.
Preliminary Data
If you have some exisiting data that fits within the scope of this project, please prepare it for downloading by adding a link here.
Magpie Quote
A quote: "... most number theoretical calculations merely pile up lists of integers in the manner of a magpie; they are neither designed to produce valuable results nor capable of doing so." -- Swinnerton-Dyer (quoted in Atkin's 1968 article about Feasible Computability)