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Title:
Classification of fake projective planes and related geometric problems
Speaker:
Abstract:
The main purpose of the talk is to explain the recent classification of fake projective planes. A fake projective plane is a smooth complex surface with the same Betti numbers as the complex projective plane but not biholomorphic to it. Recently, from a joint work with Gopal Prasad, as well as the work of Donald Cartwright and Tim Steger, it is shown that there are precisely one hundred such surfaces up to biholomorphism. We would also explain some exotic fourfolds arising naturally from fake projective planes. (1 hour long talk)
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