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SUMMARY:Distribution matches in stochastic vertex models and Macdonald pro
cesses
DTSTART;VALUE=DATE-TIME:20190620T113000Z
DTEND;VALUE=DATE-TIME:20190620T123000Z
DTSTAMP;VALUE=DATE-TIME:20200806T065305Z
UID:indico-event-3850@indico.math.cnrs.fr
DESCRIPTION:(Séance commune avec le séminaire de physique théorique\, d
e 13h30 à 14h30 en Amphi Schrödinger.)\n\nOne of the classic quantities
in the six-vertex model is the domain wall partition function\, which was
computed as a determinant by Izergin. Most proofs of Izergin's formula are
based on solving recursion relations and\, as a consequence\, a priori kn
owledge of the answer.\n\nI will sketch a direct method for deriving Izerg
in's formula\, based on Macdonald polynomials and their difference-operato
r eigenrelations (following ideas of Lascoux and Warnaar). The connection
between the six-vertex model and Macdonald polynomials runs deeper still\;
I will discuss some intriguing distribution matches first observed by Bor
odin.\n\nhttps://indico.math.cnrs.fr/event/3850/
LOCATION:ENS Lyon Amphi Schrödinger
URL:https://indico.math.cnrs.fr/event/3850/
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