Dave Swinarski will give the talk on Monday, November 8 at 4:15 in Math 528. This lecture will be open to all.
Abstract: A very useful way to think about Riemann surfaces is as branched covers of CP1. In the first part of the talk I will explain this point of view and discuss some of my favorite theorems about Riemann surfaces, including the equivalence between Riemann surfaces and nodal algebraic curves in CP2. Hyperelliptic curves will be a special, explicit case. Time permitting, I will cover Riemann's famous count of 3g-3 moduli and families of hyperelliptic curves.
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