Newton-Okounkov bodies and asymptotic invariants of divisors

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• Jinhyung Park (KIAS)
• Wednesday 23 November 2016, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Caucher Birkar.

A Newton-Okounkov body is a convex body in Euclidean space associated to a divisor on an algebraic variety with respect to an admissible flag. After briefly recalling basics of Newton-Okounkov bodies of ample or big divisors, I introduce two natural ways to associate Newton-Okounkov bodies to pseudoeffective divisors. We then study various asymptotic invariants of pseudoeffective divisors using these convex bodies. This is joint work with Sung Rak Choi, Yoonsuk Hyun, and Joonyeong Won.

This talk is part of the Algebraic Geometry Seminar series.

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