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Back to Algebraic Geometry Seminar: Spring 2017

Algebraic Geometry Seminar


Date: Tuesday, Apr 4, 2017

Time: 3:30PM - 4:30PM

Location: LCB 219


David H. Yang

Massachusetts Institute of Technology

Title

Curves on Fano Varieties and Manin's Conjecture

Abstract

Following work of Lehmann-Tanimoto, we will discuss what structure can be expected in the moduli space of rational curves of fixed degree in an arbitrary Fano variety X . Among other things, we propose a heuristic that should recover the classical Batyrev-Manin conjecture. Then we will discuss generalizations to higher genus and give some concrete applications of this framework.

Algebraic Geometry

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