SMS scnews item created by Zhou Zhang at Tue 4 Mar 2014 1743
Type: Seminar
Distribution: World
Expiry: 18 Mar 2014
Calendar1: 6 Mar 2014 1200-1300
CalLoc1: Carslaw 707A
Auth: zhangou@como.maths.usyd.edu.au

# GTA Seminar: Tang -- Short Curves on Flat Surfaces and the Curve Graph

Speaker: Dr. Robert Tang (Sydney)

http://homepages.warwick.ac.uk/~mariam/

Time: Thursday, March 6, 12NOON--1PM.

Room: Carslaw 707A.

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Title: Short Curves on Flat Surfaces and the Curve Graph

Abstract: on a flat torus, any simple closed curve has an
arbitrarily short geodesic representative upon applying a
suitable SL(2,R)-deformation to the flat metric. For a
given flat metric on higher genus surface, however, the
same is not true. We will study the set of curves which
can be made short on some metric obtainable under some
SL(2,R)-deformation. This ’short curve’ set has some
interesting coarse geometric properties when viewed as
a subset of the curve graph - a combinatorial tool which
has been used to study mapping class groups, Teichmuller
space and hyperbolic 3-manifolds. I will also describe
nearest point projection properties to the short curve
set within the curve graph. This is a joint work with
Richard Webb.

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Seminar website:

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


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