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DTSTART:20260329T030000
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DTSTART:20251026T020000
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DTSTAMP:20260424T125156Z
UID:684ad67c10932768244050@ist.ac.at
DTSTART:20251103T160000
DTEND:20251103T170000
DESCRIPTION:Speaker: Catherine Wolfram\nhosted by Laszlo Erdös & Jan Maas\
 nAbstract: The circle can be seen as the boundary at infinity of the hyper
 bolic plane. We give a 1-to-2 dimensional holographic interpretation of th
 e Schwarzian action\, by showing that the Schwarzian action (which is a fu
 nction of a diffeomorphism of the circle) is equal to the hyperbolic area 
 enclosed by an "Epstein curve" in the disk. A dimension higher\, the Epste
 in construction was used to relate the Loewner energy (a function of a Jor
 dan curve related to SLE and Brownian loop measures) to renormalized volum
 e in hyperbolic 3-space. In this talk I will explain how to construct the 
 Epstein curve\, how the bi-local observables of Schwarzian field theory ca
 n be interpreted as a renormalized hyperbolic length using the same Epstei
 n construction\, and discuss what we know so far about the relationship be
 tween the Schwarzian action and the Loewner energy\, with some intuition c
 oming from Brownian loop and bubble measures. This is primarily based on j
 oint work with Franco Vargas Pallete and Yilin Wang\, and also on forthcom
 ing joint work with Greg Lawler\, Fredrik Viklund\, and Yilin Wang.
LOCATION:Mondi Seminar Room 2\, Central Building\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Catherine Wolfram: Epstein curves and holography of the Schwarzian 
 action
URL:https://talks-calendar.ista.ac.at/events/6101
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