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Algebraic Geometry Seminar - June Huh(University of Michigan, Ann Arbor)

posted May 20, 2012, 9:43 PM by Jihye Jung   [ updated May 20, 2012, 9:44 PM ]
- Title : The maximum likelihood degree of a very affine variety
- Speaker :June Huh(University of Michigan, Ann Arbor)
- Date & Time : 18 May , 2012 (Fri) 14:00~15:00
- Place : Math Science Building room 404
- Abstract
 : Toric varieties are in one-to-one correspondence with rational fans. Using this correspondence, algebraic geometers can translate many problems into statements which are more amenable to computations. Conversely, and even more remarkably, some combinatorial questions can be successfully reformulated in algebraic-geometric terms. An example of this is Stanley's theorem on simple polytopes, which I will explain in details. Then I will describe a foliated model of toric varieties associated to nonrational fans, with supporting evidence that the rich interplay between algebraic and convex geometries carries over to this model. This is a joint work with F. Battaglia
Jihye Jung,
May 20, 2012, 9:46 PM