Tropical characteristic classes

Abstract: To every affine algebraic variety one can assign its tropical fan, which remembers a lot about the intersection theory of the variety. Moreover, to every k-dimensional variety one can associate its tropical characteristic classes (a tuple of tropical fans of dimensions from 0 to k), which remember much more. I will introduce tropical characteristic classes, discuss how to compute them, point out their relations to some other objects of similar nature (such as CSM classes of matroids and refined tropicalizations), and tell about some applications to enumerative geometry and singularity theory.

algebraic geometrycombinatorics

Audience: researchers in the topic

(LAGARTOS) Latin American Real and Tropical Geometry Seminar

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