SMS scnews item created by Zhou Zhang at Fri 8 Jun 2012 1542
Type: Seminar
Modified: Tue 12 Jun 2012 2310
Distribution: World
Expiry: 29 Jun 2012
Calendar1: 12 Jun 2012 1200-1300
CalLoc1: Carslaw 159
CalTitle1: Geometry Seminar: Carberry -- The Periodicity Problem for Harmonic Maps of the Plane
Auth: zhangou@bari.maths.usyd.edu.au

# Geometry Seminar: Carberry -- The Periodicity Problem for Harmonic Maps of the Plane (Postponed)

This event has been postponed due to people’s other duties.

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Speaker: Dr. Emma Carberry (Sydney)

Time: Tuesday, June 12, 12(NOON)--1PM

Room: Carslaw 159

Lunch: after the talk (at Taste at Sydney Uni, i.e.
"Law School Annex Cafe")

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Title: The Periodicity Problem for Harmonic Maps
of the Plane

Abstract: harmonic maps from the complex plane to
a Lie group or symmetric space form an integrable
system, and hence we expect that there are some
solutions which are simpler than the general ones
and can be found explicitly. A particularly useful
encoding of this fact is the spectral curve of a
harmonic map of finite type, which expresses what
was initially a problem in differential geometry
purely in terms of algebraic geometry. This
introduces a number of new techniques, and is in
space questions. Not all maps of the plane can
be expressed in this way, but for various target
spaces it is known that all doubly periodic such
maps (ie maps of 2-tori) can be studied using
spectral curves. We will explain how studying
the periodicity of the harmonic map in terms of
its spectral curve leads to an understanding of
the moduli space of such harmonic maps. We will
focus on the examples of minimal and constant
mean curvature surfaces in the 3-sphere.

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Web site for Geometry Seminar is at:

http://www.maths.usyd.edu.au/u/SemConf/Geometry/index.html


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