Starts 23 Jan 2019 16:00

Ends 23 Jan 2019 17:00

Central European Time

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The L-functions and modular forms database project

Starts 23 Jan 2019 16:00

Ends 23 Jan 2019 17:00

Central European Time

ICTP

Leonardo Building - Luigi Stasi Seminar Room

At least a dozen different mathematical objects are connected in various ways to L-functions. The study of those objects is highly specialized, and most mathematicians have only a vague idea of the objects outside their specialty and how everything is related. Helping mathematicians to understand these connections was the motivation for the L-functions and Modular Forms Database (LMFDB) project, which started at AIM in 2007 and has been supported by major grants from the NSF, the UK EPSRC and the Simons Foundation. Its mission is to chart the landscape of L-functions and modular forms in a systematic and concrete fashion. This involves developing their theory, creating and improving algorithms for computing and classifying them, and hence discovering new properties of these functions, and testing fundamental conjectures.

In the lecture I will explain and demonstrate how we organise our large collection of data and display it, together with the interrelations between linked objects, through our website [www.lmfdb.org]. I will also show how this has been built via a world-wide collaborative open source project which we hope to be a model for others.