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January 29, 2019


Tuesday, January 29, 2019

Algebraic Geometry Seminar
4:30 PM - 5:30 PM

Speaker: Jingjun Han, Johns Hopkins

Title: Complements and minimal log discrepancies (1)

Abstract: Shokurov introduced the theory of complements while he investigated log flips of threefold. The theory is further developed by Prokhorov-Shokurov and Birkar. As one of key steps in the proof of BAB conjecture, Birkar showed a conjecture of Shokurov, i.e., the existence of n-complements for Fano varieties with pairs of hyperstandard coefficients. In this talk, I will show a more general version of his result and show the complements have some additional properties: divisibility, rationality, approximation, anisotropic. This is an ongoing work with Jihao Liu and Shokurov.

This seminar will meet in Shaffer 303

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