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Back to Departmental Colloquium: Spring 2005

Departmental Colloquium


Date: Friday, Feb 11, 2005

Time: 4:15PM

Location: JWB 335

Special Colloquium Friday


Quadratic Differentials in Low Dimensional Topology...

Title

Quadratic Differentials in Low Dimensional Topology...

Abstract

Quadratic differentials on a Riemann surface have played a fundamental role in classical Teichmueller theory. Such a differential determines a special type of Euclidean cone metric on the Riemann surface, a projective line of projective measured foliations, and an isometric embedding of the hyperbolic plane into the Teichmueller space (and more!). Understanding the relationships between these various structures can be incredibly useful. In this talk, I will discuss some of these relationships, how they can be used, and how they produce some very pretty connections with other areas of mathematics.

Topology

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