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DTSTAMP:20260406T062643Z
UID:5cf7a3260bea3596616169@ist.ac.at
DTSTART:20190611T173000
DTEND:20190611T183000
DESCRIPTION:Speaker: Yilin Wang\nhosted by M. Beiglböck\, N. Berestycki\, 
 L. Erdös\, J. Maas\nAbstract: The Loewner energy defined for Jordan curve
 s is the action functional of SLE (and also its large deviation rate funct
 ion when the parameter goes to 0). It was shown in a previous work that a 
 Jordan curve has finite energy if and only if it is a Weil-Petersson quasi
 circle.In this talk we present identities that relate the Loewner energy t
 o the Dirichlet energy of ambient fields. They are deterministic analogs o
 f both the welding and flow-line couplings of SLEs with the Gaussian free 
 field on the level of action functionals. We deduce also an identity on co
 mplex valued fields that combines both welding and flow-line identities. W
 e apply these results to show that the operation of arclength isometric we
 lding of two finite energy domains is sub-additive in the energy and that 
 the energy of equipotentials in a simply connected domain is monotone.
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Yilin Wang: Interplay between the Loewner and Dirichlet energies: C
 onformal welding and Flow-lines
URL:https://talks-calendar.ista.ac.at/events/2004
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