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SUMMARY:The Mathematics of Linear Relations between Feynman Integrals
DTSTART;VALUE=DATE-TIME:20190318T070000Z
DTEND;VALUE=DATE-TIME:20190322T170000Z
DTSTAMP;VALUE=DATE-TIME:20181216T225048Z
UID:indico-event-179@cern.ch
DESCRIPTION:For the precise prediction of observables at particle collider
s such as the LHC\, the computation of a large number of Feynman integrals
is indispensable. A crucial step in these computations is the reduction t
o a small set of master integrals by exploiting linear relations.\n\n \n\
nIn the standard approach such relations are derived from the famous integ
ration-by-parts identities in momentum space and combined in Laporta's alg
orithm. Such reductions can easily grow too large to be executed with reas
onable computer resources. Motivated by this problem\, many new ideas on e
fficient reductions of Feynman integrals were presented in the recent lite
rature. This workshop is dedicated to the mathematical techniques behind t
hese developments\, including finite field techniques\, Gröbner bases\, M
ilnor numbers\, unitarity cuts and syzygy computations. In particular\, te
chniques from algebraic geometry and the theory of D-modules have provided
new insights. In an attempt to boost the exchange of ideas and the develo
pment of advanced methods\, this workshop brings together mathematicians w
ith relevant expertise\, physicists with experience in Feynman integral re
ductions and specialists on computer algebra tools.\n\n \n\nInvited speak
ers:\n\n\n Thomas Bitoun\n Janko Böhm \n Harald Ita \n Mikhail Kalmykov
\n Kasper Larsen\n Roman Lee\n Viktor Levandovskyy\n Robert Schabinger\n O
leg Tarasov\n Andreas von Manteuffel\n\n\nhttps://indico.mitp.uni-mainz.de
/event/179/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/179/
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