Topology Seminar

Topology & Geometric Group Theory Seminar

Spring 2012

1:30 – 2:30, Malott 203

Tuesday, May 1

Dan Zaffran, KAIST

Foliations modelling nonrational toric varieties

Toric varieties are in one-to-one correspondence with rational fans. Thus, 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, which I will recall 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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