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Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x33484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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Henry Lui, Department of Pure Mathematics, University of Waterloo
“Teichmu ̈ller Spaces”
Teichmu ̈ller theory studies complex structures on surfaces, most of which have hyperbolic geometry. So I will begin with some preliminaries on surfaces and hyperbolic geometry before motivating and defining Teichmu ̈ller spaces and mapping class groups, the main players in the theory. Since most of Teichmu ̈ller theory focuses on the ”general” case of negative Euler characteristic, I will explicitly compute the Teichmu ̈ller space of the torus for completeness, before we move onward.
MC 5403
Departmental office: MC 5304
Phone: 519 888 4567 x33484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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