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Postdoctoral Seminar November 06, 2009
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Location: MSRI: Simons Auditorium
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Yanki Lekili: "Broken Lefschetz fibrations"

Tristram Bogart: "Tropical rational curves on tropical hypersurfaces (II)"
In the 1980's, Herbert Clemens proved that a general hypersurface in P^n of degree at least 2n-1 contains no rational curves and conjectured that a general quintic threefold in P3 contains only finitely many rational curves of fixed degree. In ongoing work with Erwan Brugallé and Ethan Cotterill, we develop a tropical approach to these problems, using the technique of floor diagrams. In this talk I will describe our proof strategy for the tropical analogue of Clemens' result in dimension three.

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