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Enumerative geometry of algebraic surfaces

4:00 pm Thursday, November 11, 2010
Yu-jong Tzeng (Harvard University)

The goal of enumerative geometry is to count algebraic varieties satisfying certain geometric constraints, such as having a given type of singularity, fixed incidence and tangency conditions. In this talk we focus on enumerating curves on algebraic surfaces and important results will be presented. We will also discuss how modern techniques are used to solve long-standing classical problems in enumerative geometry, such as the number of nodal curves on surfaces.

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