- Title : Combinatorics of polytopes and a model of nonrational toric varieties - Speaker : Dan Zaffran(KAIST) - Date & Time : June 1, 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. |
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