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SUMMARY:Bertrand Eynard (IHES and IPhT)
DTSTART:20211126T080000Z
DTEND:20211126T090000Z
DTSTAMP:20260423T024537Z
UID:CGP-MP/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CGP-MP/19/">
 CFT from Topological Recursion</a>\nby Bertrand Eynard (IHES and IPhT) as 
 part of IBS-CGP Mathematical Physics Seminar\n\n\nAbstract\nConformal Fiel
 d Theories\, can be "defined" by the bootstrap axioms. The main axioms are
  that we have a set of functions (amplitudes) that should satisfy OPE (sho
 rt distance asymptotic behaviour)\, Ward identities (reflecting conformal 
 invariance) and crossing-symmetry (all possible ways of computing an ampli
 tude should give the same answer).\nTopological Recursion is a recursive r
 ecipe that associates to a spectral curve S (an algebraic plane curve with
  some additional features)\, a sequence of n-forms\, denoted $\\omega_{g\,
 n}(S)$\, $g=0\,\\dots\,\\infty$\, $n=0\,\\dots\,\\infty$. These n-forms na
 turally allow to define amplitudes (as formal series) that do satisfy OPE 
 and Ward Identities axioms. Moreover\, there is a way to adapt them to als
 o satisfy crossing symmetry. This last statement is presently a conjecture
 \, not yet proved in all cases\, but belived to be true.\nWe shall also di
 scuss the link to integrable systems and algebraic geometry.\n
LOCATION:https://researchseminars.org/talk/CGP-MP/19/
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