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Crash course on hyperbolic geometry in dimension two

Event Category:
Reading Seminar on Automorphism Groups of Manifolds
Porter Morgan

We’ll review results and techniques that are building blocks for studying hyperbolic surfaces. This will begin with a classification of the Teichmuller space for a pair of pants. Then we’ll discuss the geometric intersection number of simple closed curves on closed hyperbolic surfaces. We’ll end by applying these intersection properties to study the abundance of isometries for a fixed -1-curvature metric on a closed surface.

Tuesday, February 27, 2024 - 4:00pm
LGRT 1685