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SUMMARY:Geometric descriptions of the Loewner energy - Yilin Wang (ETH Zü
 rich)
DTSTART:20180717T124500Z
DTEND:20180717T133000Z
UID:TALK108097@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The Loewner energy of a simple loop on the Riemann sphere is d
 efined to be the Dirichlet energy of its driving function which is reminis
 cent in the SLE theory. It was shown in a joint work with Steffen Rohde th
 at the definition is independent of the parametrization of the loop\, ther
 efore provides a Moebius invariant quantity on free loops which vanishes o
 nly on the circles.   In this talk\, I will present intrinsic interpretati
 ons of the Loewner energy (without involving the iteration of conformal di
 stortions given by the Loewner flow)\, using the zeta-regularizations of d
 eterminants of Laplacians and show that the class of finite energy loops c
 oincides with the Weil-Petersson class of the universal Teichmueller space
 .
LOCATION:Seminar Room 1\, Newton Institute
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