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Presented By: Learning Seminar in Algebraic Combinatorics - Department of Mathematics

Learning seminar in algebraic combinatorics: Tropical Hypersurfaces and the Fundamental Theorem

Bailee Zacovic

In this talk, we introduce the tropical hypersurface associated to a multivariate Laurent polynomial, as well as more general tropical varieties arising from classical subvarieties of the torus. We will discuss Kapranov's theorem and present the generalized Fundamental Theorem of Tropical Algebraic Geometry, both of which unite classical algebro-geometric objects to their tropical counterparts.

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