Type: Seminar

Modified: Wed 23 Nov 2011 1439; Wed 23 Nov 2011 1611

Distribution: World

Expiry: 7 Dec 2011

Auth: zhangou@bari.maths.usyd.edu.au

Due to multiple reasons, the following event has been moved to **Friday** (Nov. 25), 11AM-12NOON, still at Carslaw 707A. Sorry for the late notice and inconvenience. --------------------------------------------------------- Speaker: Emma Carberry (Sydney) Time: Nov. 24, Thursday (**NOT the usual time**), 12NOON--1PM Room: 707A Carslaw Building --------------------------------------------------------- Title: Harmonic maps, Toda frames and extended Dynkin diagrams Abstract: I shall discuss harmonic maps from surfaces into homogeneous spaces G/T where G is any simple real Lie group (not necessarily compact) and T is a Cartan subgroup. All immersions of a genus one surface into G/T possessing a Toda frame can be constructed by integrating a pair of commuting vector fields on a finite dimensional Lie algebra. I shall provide necessary and sufficient conditions for the existence of a Toda frame and describe those G/T to which the theory applies in terms of involutions of extended Dynkin diagrams. Applications will be given to harmonic maps into de Sitter spaces and to Willmore tori in S^3. This is joint work with Katharine Turner (University of Chicago). --------------------------------------------------------- You can find more information on the topic through the links for earlier talks of this series. http://www.maths.usyd.edu.au/s/scnitm/zhangou-GeometrySeminar-Carberry--001 http://www.maths.usyd.edu.au/s/scnitm/zhangou-GeometrySeminar-Carberry--002