BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Vincent Vargas (Ecole Normale Supérieure) DTSTART:20201112T160000Z DTEND:20201112T173000Z DTSTAMP:20260423T021301Z UID:AQFP/4 DESCRIPTION:Title: Lio uville conformal field theory: equivalence between the path integral and t he bootstrap construction\nby Vincent Vargas (Ecole Normale Supérieur e) as part of Analysis\, Quantum Fields\, and Probability\n\n\nAbstract\nL iouville conformal field theory (LCFT) is a family of Conformal field theo ries which arise in a wide variety of contexts in the physics and the prob abilistic literature: SUSY Yang-Mills\, the scaling limit of large planar maps\, etc... There are two main and seemingly unrelated approaches to LCF T in the physics literature: one in the Feynman path integral formulation and one in the conformal bootstrap approach. Recently\, we constructed rig orously LCFT in the Feynman path integral formulation via probability theo ry (and more specifically the Gaussian Free Field). In this talk\, I will present recent work which shows that both approaches (probabilistic constr uction of the Feynman path integral and conformal bootstrap) are in fact i dentical. A key ingredient in our work is the analysis of an infinite dime nsional semigroup\, the so-called Liouville semigroup. Based on a series o f joint works with C. Guillarmou\, F. David\, A. Kupiainen and R. Rhodes.\ n LOCATION:https://researchseminars.org/talk/AQFP/4/ END:VEVENT END:VCALENDAR