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SUMMARY:Workshop "Random geometry and its connections to QFT" [HIM Worksho
 p]
DTSTART:20250519T063000Z
DTEND:20250523T140000Z
DTSTAMP:20260613T214600Z
UID:indico-event-67@math-events.uni-bonn.de
CONTACT:him-coordination@hcm.uni-bonn.de\;him-contact@hcm.uni-bonn.de
DESCRIPTION:Speakers: Kanami Ueda\, Emma Seggewiss (HCM)\n\nVenue: HIM le
 cture hall (Poppelsdorfer Allee 45\, Bonn)\nOrganizers: Roland Bauerschmi
 dt\, Eveliina Peltola\, Ellen Powell\, Rémi Rhodes\, Eero Saksman\n\n\n\n
 \n\n\n\nDescription: \nRandom geometry refers to the study of random geom
 etric structures\, such as curves and surfaces.One of the most notable exa
 mples is the Schramm–Loewner Evolution (SLE)\, which has been shown to d
 escribe the scaling limits of interfaces in 2D critical models.Significant
  progress has been made through its interplay with the Gaussian Free Field
  (GFF)\, deepening the understanding of the geometric properties of both 
 SLE and the GFF.\nThe macroscopic features of lattice models are believed 
 to be described by quantum field theories (QFTs).Critical lattice models a
 re expected to enjoy an additional conformal symmetry\, and such QFTs are 
 termed conformal field theories (CFTs).For instance\, the Ising model\, a 
 prototypical example with an order-disorder phase transition\, has seen ma
 thematical breakthroughs that have fully established its continuum descrip
 tion.However\, extending these results to other models\, such as the Potts
  or random cluster models\, remains a major challenge\, e.g. due to the ab
 sence of similar powerful integrability techniques.\nAnother major theme i
 n this workshop is Liouville quantum gravity (LQG)\,a concept that can be 
 approached through Liouville CFT\, random planar maps\, or the "mating-of-
 trees" framework.These perspectives have recently seen significant advance
 s and are increasingly interconnected\, providing new insights into large-
 scale random geometry behavior.\nThis workshop will focus on these central
  themes and the challenges they pose\, including:\n- the construction of C
 FTs from lattice models- probabilistic approaches to CFTs\, such as the LQ
 G\, Liouville CFT\, and its implications for 2D quantum gravity- the devel
 opment of new techniques for understanding scaling limits ofgeneral lattic
 e models\n \n\n\n\n\n\n\nTrimester Program guests\, who were invited and 
 have confirmed to be at HIM during the period of this workshop\, are eligi
 ble to attend this event.\n\n\n\n\n\n\n\n\nhttps://math-events.uni-bonn.de
 /event/67/
LOCATION:Poppelsdorfer Allee 45\, 1. EG\, Lecture room (HIM)
URL:https://math-events.uni-bonn.de/event/67/
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