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Mathematics Colloquium


Date:  Tuesday, November 10, 2015

Title:  Higher convexity for complements of tropical objects

Abstract:  Gromov generalized the notion of convexity for open subsets of R^n with hypesurface boundary, defining k-convexity, or higher convexity and Henriques applied the same notion to complements of amoebas. He conjectured that the complement of an amoeba of a variety of codimension k+1 is k-convex. I will discuss work with Mounir Nisse in which we study the higher convexity of complements of coamoebas and of tropical varieties, proving Henriques' conjecture for coamoebas and establishing a form of Henriques' conjecture for tropical varieties in some cases.

Speaker:  Frank Sottile
Institution:  Texas A & M University


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