Video library: F. Sottile, Higher convexity of tropical objects

VIDEO LIBRARY


Multidimensional Residues and Tropical Geometry June 17, 2021 18:00, Sochi

Higher convexity of tropical objects F. Sottile Texas A&M University
Abstract: Gromov generalized the notion of convexity for open subsets of $R^n$ with hypersurface 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. Language: English Website: https://us02web.zoom.us/j/2162766238?pwd=TTBraGwvQ3Z3dWVpK3RCSFNMcWNNZz09 ^* ID: 216 276 6238, password: residue