Universal families for rational tropical curves

From CRCG-Wiki

Speaker:

Simon Hampe (TU Kaiserslautern)

Abstract:

The moduli spaces of rational tropical curves or lines have been well known for several years. However, so far they have only been parameter spaces, i.e. in bijection to the set of tropical curves (or lines). In classical geometry or category theory, a moduli space usually carries a universal family, which induces all other possible families of curves via pull-back. This talk gives a possible definition of a family of tropical curves. We then introduce the notion of a pseudo-morphism and show that the forgetful map is a universal family in the sense that each family is equivalent to the pull-back of the forgetful map along a unique pseudo-morphism.