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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Geometric descriptions of the Loewner energy

## Geometric descriptions of the Loewner energyAdd to your list(s) Download to your calendar using vCal - Yilin Wang (ETH Zürich)
- Tuesday 17 July 2018, 13:45-14:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. RGMW06 - RGM follow up The Loewner energy of a simple loop on the Riemann sphere is defined to be the Dirichlet energy of its driving function which is reminiscent in the SLE theory. It was shown in a joint work with Steffen Rohde that the definition is independent of the parametrization of the loop, therefore provides a Moebius invariant quantity on free loops which vanishes only on the circles. In this talk, I will present intrinsic interpretations of the Loewner energy (without involving the iteration of conformal distortions given by the Loewner flow), using the zeta-regularizations of determinants of Laplacians and show that the class of finite energy loops coincides with the Weil-Petersson class of the universal Teichmueller space. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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