Three angles on tropical geometry
The field of tropical geometry is relatively young and developed in several areas of mathematics and computer science independently. I begin with a classical source of tropical geometry: Newton's work on "sketching" polynomials. This motivates two different, but related viewpoints that are useful in describing limits of geometric objects, as well as the computation and enumeration of algebraic sets. As an application of tropical convexity, I will describe work in progress with Dominic Tate on describing limits of real projective structures of surfaces as singular Euclidean structures modelled on buildings.
Stephan Tillmann, University of Sydney