SMS scnews item created by Zhou Zhang at Mon 21 Nov 2011 1120
Type: Seminar
Modified: Wed 23 Nov 2011 1439; Wed 23 Nov 2011 1611
Distribution: World
Expiry: 7 Dec 2011
Calendar1: 25 Nov 2011 1100-1200
CalLoc1: Carslaw 707A
Auth: zhangou@bari.maths.usyd.edu.au

# Geometry Seminar (*Friday*) : Carberry -- Harmonic Maps, Toda Frames and Extended Dynkin Diagrams

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.

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Speaker: Emma Carberry (Sydney)

Time: Nov. 24, Thursday (**NOT the usual time**), 12NOON--1PM

Room: 707A Carslaw Building

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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).

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