#
Online databases: from L-functions to combinatorics

January 21 to January 25, 2013
at the

American Institute of Mathematics,
Palo Alto, California

organized by

Paul-Olivier Dehaye and Nicolas M. Thiery

## Original Announcement

This workshop will be devoted to the development of new software tools for handling mathematical databases. These tools will assist mathematicians in the integration, display, distribution, maintenance and investigation of mathematical data, particularly in the context of the computer algebra system Sage.
Many issues arise from advanced use of mathematical data, and will be tackled in the workshop:

- integration of heterogeneous data: many different representations, mix of precomputed and on the fly computed data, complex interrelations
- retrieval of information, and the need for complex searches to support research
- efficient distribution of the data so it can be reused by others
- maintenance of the integrity of the data, and the necessity to perform checks and updates

In addition, there are issues tied to the visualization of this data: either to directly assist research or for more educational purposes, along with enough context for an external user to understand it.
The aim of this workshop is to approach these issues from the very general context of Sage, and develop generic and easy-to-use software tools that would be useful for other mathematical disciplines. We will, however, keep two use cases in mind:

- the LMFDB project, which aims to gather data in number theory, as relevant to the study of L-functions
- the Sage-combinat project and related projects, concerned with combinatorial problems

In addition to experts from both projects, advanced Sage developers and database experts will also be invited.

## Material from the workshop

A list of participants.
The workshop schedule.

A report on the workshop activities.