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BEGIN:VEVENT
UID:34bec6551d62e8f4ccc6b104dadafcac
CATEGORIES:Mathematical Physics Seminar
CREATED:20220607T103109
SUMMARY:Over-determined Schwinger-Dyson equations for matrix models
LOCATION:Zoom
DESCRIPTION:Observables in the planar limit of multi-matrix models satisfy an infinite 
 system of quadratic equations,  called loop equations (analogs of Schwinger
 -Dyson equations, meaning  that the integral of a total derivative is zero)
 .  Naive counting gives more equations than variables, i.e. the system of l
 oop equations is over-determined. Nevertheless, it has non-trivial solution
 s, depending on a finite or infinite number of parameters, depending on the
  model. I'll talk about the cohomological mechanism behind this phenomenon.
 \n
X-ALT-DESC;FMTTYPE=text/html:<p style="margin-bottom: 6px; background: white; text-align: left;">Observa
 bles in the planar limit of multi-matrix models satisfy an infinite system 
 of quadratic equations,&nbsp; called loop equations (analogs of Schwinger-D
 yson equations, meaning&nbsp; that the integral of a total derivative is ze
 ro). &nbsp;Naive counting gives more equations than variables, i.e. the sys
 tem of loop equations is over-determined. Nevertheless, it has non-trivial 
 solutions, depending on a finite or infinite number of parameters, dependin
 g on the model. I'll talk about the cohomological mechanism behind this phe
 nomenon.</p>
CONTACT:Maxim Kontsevich - IHES
DTSTAMP:20260827T115848
DTSTART;TZID=America/New_York:20220608T104500
DTEND;TZID=America/New_York:20220608T114500
SEQUENCE:0
TRANSP:OPAQUE
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