SMS scnews item created by Mary Myerscough at Wed 15 Sep 2010 1527
Type: Seminar
Modified: Wed 15 Sep 2010 1533
Distribution: World
Expiry: 22 Sep 2010
Calendar1: 22 Sep 2010 1600-1700
CalLoc1: Eastern Ave 404
Auth: marym@bari.maths.usyd.edu.au

Postgrad seminar--expat special!: Tang -- The mapping class group and the curve complex

Robert Tang, formerly of Sydney University, now at Warwick, will give a special
seminar.

Abstract: The mapping class group of a surface is its group of orientation-preserving
self-homeomorphisms up to homotopy.  This group acts naturally on many different spaces
and so, using ideas from geometric group theory, we can learn not only about the
geometry of those spaces but also about the group itself.  One such space is the curve
complex, whose vertices are the homotopy classes of essential non-peripheral loops
embedded on the surface.  I will talk about the basic properties and some key results
regarding the mapping class group and the curve complex.  If time permits, I will also
talk about a result regarding covering maps between surfaces and the induced relation
between their curve complexes.

Refreshments will be available if there is a volunteer to purchase them.  Contact me if
you would like to do this.

Mary Myerscough PG Director


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