SMS scnews item created by Zhou Zhang at Tue 24 Jul 2012 1651
Type: Seminar
Distribution: World
Expiry: 4 Sep 2012
Calendar1: 7 Aug 2012 1200-1300
CalLoc1: Carslaw 707A
Auth: zhangou@bari.maths.usyd.edu.au

# Geometry Seminar: Brander -- Recent Work on Integrable Surfaces Via the Generalized Weierstrass Representation

Speaker: Dr. David Brander (Technical University of Denmark)

http://davidbrander.org/

Time: Tuesday, August 7, 12(NOON)--1PM

Room: Carslaw 707A

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

---------------------------------------------------

Title:  Recent Work on Integrable Surfaces Via the
Generalized Weierstrass Representation

Abstract: the classical Weierstrass representation
for minimal surfaces has been an important tool in
their study, both for constructing examples and for
proving general properties about these surfaces. For
non-minimal CMC surfaces, a generalized Weierstrass
representation was given by Dorfmeister, Pedit and
Wu in the 1990’s.  Analogously to the classical
Weierstrass representation for minimal surfaces,
all such surfaces can be represented by  pairs of
holomorphic functions.  This representation has been
used to construct new examples of CMC surfaces, such
as CMC trinoids and generalizationis, but, in general
the method is much less straightforward to make use
of compared with the minimal case. This is due to a
loop group splitting which must be performed in the
passage from the Weierstrass data to the surface,
which makes it hard to detect geometric properties
of the surface in the holomorphic data.

In this talk, I will talk about some recent work on
solving the generalization of Bjorling’s problem to
the non-minimal case via the loop group representation.
Other generalizations, which will be mentioned if
time permits, include the analogous problem for
constant negative curvature surfaces and also the
construction of CMC surfaces in Lorentz 3-space
with prescribed singularities.

---------------------------------------------------

Web site for Geometry Seminar is at:

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


Actions:
Calendar (ICS file) download, for import into your favourite calendar application
UNCLUTTER for printing
AUTHENTICATE to mark the scnews item as read
School members may try to .