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SUMMARY:Jackiw-Teitelboim gravity and hyperbolic geometry
DTSTART:20261006T050000Z
DTEND:20261006T080000Z
DTSTAMP:20261030T161700Z
UID:indico-event-19047@indico.global
DESCRIPTION:Speakers: Yu Miyauchi (Keio University)\n\nThis seminar will b
 e held in Japanese.\nZoom Link\nhttps://kyoto-u-edu.zoom.us/j/86176322136?
 pwd=7cJ8ISRASzobgxywfyrJmKNSrhPIXI.1\nMeeting ID: 861 7632 2136Passcode: 9
 65427\nIn this seminar\, we will review path integrals in Jackiw-Teitelboi
 m (JT) gravity using methods from hyperbolic geometry. JT gravity is a two
 -dimensional gravitational theory in which a scalar field called the dilat
 on is coupled to gravity. When the cosmological constant is negative\, int
 egrating over the dilaton fixes the bulk curvature to a negative constant\
 , resulting in hyperbolic geometry in the bulk. Due to this property\, the
  path integral for gravity reduces to an integral over the moduli space of
  a hyperbolic surface and can be explicitly calculated using the Weil-Pete
 rsson volume and the Mirzakhani recursion. Furthermore\, the boundary degr
 ees of freedom are described by the Schwarzian action\, and their partitio
 n function can also be evaluated exactly. If time permits\, I will briefly
  introduce the Saad-Shenker-Stanford (SSS) correspondence\, which relates 
 these results to the random matrix model.\n\nhttps://indico.global/event/1
 9047/
URL:https://indico.global/event/19047/
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