At the Bristol workshop it was decided that producing version 1.0 of the website was a reasonable goal for the next workshop, which is planned for Bristol in April.
It will he helpful to have a list of specific items which people think should be in version 1.0. The list will help us decide where it would be best to put our efforts in the near future. I suggest we treat this as a Wish List, meaning that we encourage people to ask for what they want (assuming it is realistic for version 1.0). If the list starts looking unrealistic then we can start another wish list for version 2.0
Wish List for LMFDB 1.0
The following topics were mentioned at the Bristol workshop. The list is in no particular order:
1) It is a place you would send a new graduate student for an introduction to the area and to see some examples.
2) It is a place where you can keep your data.
3) When someone with research interests in these areas visits the website for the first time, they are impressed by its usefulness and can imagine returning to the site many times.
4) Mathematicians who are not in this area can obtain an overview of the project.
5) The available data shows that significant progress has been made toward the goals listed in the FRG proposal.
6) Navigation and home pages exist for Hecke Characters, Artin Representations, hyperelliptic curves, and their L-functions.
- Navigation and home pages for Galois groups of number fields.
7) Various specific items which are likely to receive attention (such as: first million zeros of \zeta(s) and 10^7 zeros near 10^{20})
Below, the term "sufficiently many" means something different in each instance. Each case will be discussed separately at a later time. (Mike Rubinstein has suggested that "sufficiently many" should be replaced by "all".)
8) Sufficiently many of the links, searches, and home pages work sufficiently well.
9) Sufficiently many knowls are embedded in each page, and sufficiently many of them are sufficiently accurate and complete.
10) Data are credited appropriately.
11) Individual pages provide citation information.
12) More people become involved with the project, and home pages for more objects exist.
13) The website includes: L-functions for Siegel modular forms (spin and standard, at least), L-functions for Hilbert Modular forms (standard and Asai, at least), symmetric powers (at least for level 1), and Rankin-Selberg convolution (at least a few cases).
14) Sufficiently many L-functions have their first few zeros, first few coefficients, and critical values in the database. A front end to that database allows searching for L-functions with specific pproperties, and some automated data extraction and analysis is available.
15) A clearly marked entry point for non-experts, which puts everything in context.
16) Navigation and home pages for degree 1, 2, 3,and 4 L-functions, for ALL L-functions with functional equation parameters in a specified range.
Everyone is welcome to suggest more items.