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Algebraic Geometry: "New examples and non-examples of Mori Dream Spaces when blowing up toric surfaces"

Zhuang He, Northeastern University

Thursday, June 1, 2017
  2:10–3 p.m.

Location: Surge Building 268
  Parking Information

Category: Seminar


Mori Dream Spaces were introduced by Hu and Keel as normal, Q-factorial projective varieties whose effective cone admits a nice decomposition. As the name would indicate, Mori's minimal model program can be run for every divisor on a Mori Dream Space.

Recently there have been many studies on the question that for which integers a,b,c the blow-up of the weighted projective plane P(a,b,c) at a general point is a Mori Dream Space. In this talk, I will recall these recent work, and introduce a generalization of a result by González and Karu in 2014. Specifically, for some toric surfaces of Picard number one, whether the blow-up is a Mori Dream Space is equivalent to countably many planar interpolation problems. I will give new examples and non-examples of Mori Dream Spaces, along with a conjecture of more non-examples, by reducing these interpolation problems.

Additional Information: AG Seminar

Open to: General Public
Admission: Free
Sponsor: Mathematics

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