Algebraic Geometry: "New examples and nonexamples 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
Description:
Mori Dream Spaces were introduced by Hu and Keel as normal, Qfactorial 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 blowup 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 blowup is a Mori Dream Space is equivalent to countably many planar interpolation problems. I will give new examples and nonexamples of Mori Dream Spaces, along with a conjecture of more nonexamples, by reducing these interpolation problems.
Additional Information: AG Seminar
Open to: General Public
Admission: Free
Sponsor: Mathematics
Contact Information:

