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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:20210518T052414Z
UID:indico-event-179@indico.mitp.uni-mainz.de
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\nIn th
e standard approach such relations are derived from the famous integration
-by-parts identities in momentum space and combined in Laporta's algorithm
. Such reductions can easily grow too large to be executed with reasonable
computer resources. Motivated by this problem\, many new ideas on efficie
nt reductions of Feynman integrals were presented in the recent literature
. This workshop is dedicated to the mathematical techniques behind these d
evelopments\, including finite field techniques\, Gröbner bases\, Milnor
numbers\, unitarity cuts and syzygy computations. In particular\, techniqu
es from algebraic geometry and the theory of D-modules have provided new i
nsights. In an attempt to boost the exchange of ideas and the development
of advanced methods\, this workshop brings together mathematicians with re
levant expertise\, physicists with experience in Feynman integral reductio
ns and specialists on computer algebra tools.\n\nConfirmed speakers includ
e:\n\n\n Thomas Bitoun\n Janko Böhm \n Mikhail Kalmykov\n David Kosower\
n Stefano Laporta\n Kasper Larsen\n Roman Lee\n Viktor Levandovskyy\n Andr
eas von Manteuffel\n Pierpaolo Mastrolia\n Toshinori Oaku\n Mathias Schulz
e\n Alexander Smirnov\n Oleg Tarasov\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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