Geometric descriptions of the Loewner energy
Duration: 48 mins 39 secs
Share this media item:
Embed this media item:
Embed this media item:
About this item
Description: |
Wang, Y
Tuesday 17th July 2018 - 13:45 to 14:30 |
---|
Created: | 2018-07-17 16:01 |
---|---|
Collection: | RGM follow up |
Publisher: | Isaac Newton Institute |
Copyright: | Wang, Y |
Language: | eng (English) |
Distribution: | World (downloadable) |
Explicit content: | No |
Aspect Ratio: | 16:9 |
Screencast: | No |
Bumper: | UCS Default |
Trailer: | UCS Default |
Abstract: | 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. |
---|
Available Formats
Format | Quality | Bitrate | Size | |||
---|---|---|---|---|---|---|
MPEG-4 Video | 640x360 | 1.94 Mbits/sec | 708.39 MB | View | Download | |
WebM | 640x360 | 392.64 kbits/sec | 139.91 MB | View | Download | |
iPod Video | 480x270 | 522.08 kbits/sec | 186.03 MB | View | Download | |
MP3 | 44100 Hz | 249.73 kbits/sec | 89.08 MB | Listen | Download | |
Auto * | (Allows browser to choose a format it supports) |