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Tropical dual varieties
Algebraic Geometry and Number Theory| Speaker: | Yoav Len, University of Waterloo |
| Related Webpage: | https://sites.google.com/site/yoavlen/home |
| Location: | 2112 MSB |
| Start time: | Thu, May 3 2018, 1:10PM |
My talk will revolve around combinatorial aspects of dual varieties. I will introduce the tropical dual variety, that classifies tangent hyperplanes to a given tropical variety. As I will show, the resulting object is indeed a tropical variety, and the construction commutes with tropicalization. As a result, we obtain a recipe for computing the Newton polygon and the dimension of the algebraic dual variety, and a tool for counting multi-tangent hyperplanes. This is joint work with Nathan Ilten.