Date: Tuesday, October 30, 2018
Location: 1866 East Hall (3:00 PM to 4:00 PM)
Title: Constructing complex structures on surfaces via the Beltrami equation
Abstract: Coming up with concrete examples of Riemann surfaces of genus 2 or higher is not very easy. One way to do so is to start with an orientable Riemannian manifold of dimension 2, and look at the conformal class of that metric, and that canonically corresponds to a complex structure on the surface. In this talk, we'll see how to get the complex structure from the conformal structure by solving the Beltrami equation.
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Speaker: Sayantan Khan
Institution: University of Michigan
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