BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Abdelmalek Abdesselam (U Virginia) DTSTART:20211014T150000Z DTEND:20211014T163000Z DTSTAMP:20260423T035908Z UID:AQFP/12 DESCRIPTION:Title: Ex ploring conformal invariance with hierarchical models\nby Abdelmalek A bdesselam (U Virginia) as part of Analysis\, Quantum Fields\, and Probabil ity\n\n\nAbstract\nIn the context of the AdS/CFT correspondence\, in Eucli dean signature\, an important basic fact is the bijection between conforma l transformations of the boundary and hyperbolic isometries of the bulk. A n infinite regular tree with the graph distance can be seen as a quintesse ntial bare-bones version of a hyperbolic space. It turns out there is a na tural way to define analogues of conformal maps on the boundary of such a tree and\, quite miraculously\, these are in bijection with tree isometrie s. Moreover\, a Euclidean QFT on this boundary is the same as a hierarchic al model as considered by Dyson in his study of the long-range Ising model and by Wilson when he introduced the approximate renormalization group re cursion. I will try to give a pedagogical introduction to this circle of i deas\, and I will discuss a particular model where there is hope to be abl e to prove conformal invariance from first principles via a rigorous nonpe rturbative renormalization group approach.\n LOCATION:https://researchseminars.org/talk/AQFP/12/ END:VEVENT END:VCALENDAR