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Jun-Muk Hwang

Korea Institute for Advanced Study



Injectivity radius and gonality of a compact Riemann surface



November 15, 2010

MONDAY
special TIME/ROOM


4:00pm    PGH 646



Abstract
 

A compact Riemann surface of genus at least 2 is a hyperbolic manifold and at the same time an algebraic curve. We discuss how these two different geometric aspects interact via the concepts of injectivity radius and gonality. The key ingredient is a certain volume inequality in a tubular neighborhood of the diagonal. This is a joint work with Wing-Keung To.






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