Abstract for the talk on 12.05.2020 (17:00 h)Nonlinear Algebra Seminar Online (NASO)
Diane Maclagan (University of Warwick)
Connectivity of tropical varieties
The standard algorithm to compute tropical varieties makes crucial use of the fact that the tropicalization of an irreducible variety is connected. I will discuss joint work with Josephine Yu showing that the tropicalization of a d-dimensional irreducible variety satisfies a stronger d-connectedness property. The proof involves a tropical Bertini theorem.