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SUMMARY:The L-functions and modular forms database project
DTSTART;VALUE=DATE-TIME:20190123T150000Z
DTEND;VALUE=DATE-TIME:20190123T160000Z
DTSTAMP;VALUE=DATE-TIME:20190822T114311Z
UID:indico-event-8836@ictp.it
DESCRIPTION:\n Abstract: The simplest and most famous L-function is the Ri
emann Zeta function. L-functions are ubiquitous in number theory\, and hav
e applications to mathematical physics and cryptography. Two of the seven
Clay Mathematics Million Dollar Millennium Problems deal with their proper
ties: the Riemann Hypothesis and the Birch and Swinnerton-Dyer Conjecture.
They arise from and encode information about a number of mathematical obj
ects\, and also provide links between them: for example\, Wiles' celebrate
d proof of Fermat's Last Theorem centred on proving that L-functions assoc
iated with certain elliptic curves were also associated with other objects
called modular forms.\n At least a dozen different mathematical objects a
re connected in various ways to L-functions. The study of those objects is
highly specialized\, and most mathematicians have only a vague idea of th
e objects outside their specialty and how everything is related. Helping m
athematicians to understand these connections was the motivation for the L
-functions and Modular Forms Database (LMFDB) project\, which started at A
IM in 2007 and has been supported by major grants from the NSF\, the UK EP
SRC and the Simons Foundation. Its mission is to chart the landscape of L-
functions and modular forms in a systematic and concrete fashion. This inv
olves developing their theory\, creating and improving algorithms for comp
uting and classifying them\, and hence discovering new properties of these
functions\, and testing fundamental conjectures.\n In the lecture I will
explain and demonstrate how we organise our large collection of data and d
isplay it\, together with the interrelations between linked objects\, thro
ugh 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 m
odel for others.\n\nhttp://indico.ictp.it/event/8836/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://indico.ictp.it/event/8836/
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