Kemal Rose: Signed tropical discriminants and steady state varieties

Abstract

One of the most fundamental questions in tropical geometry is: How much topological information does the tropicalization of a variety retain. Although Viro patchworking was one of the earliest achievements in tropical geometry, the area of real tropical geometry remains comparatively unexplored. In this talk we study real tropicalizations of discriminants, complete intersections, and steady state varieties from reaction networks.