From CRCG-Wiki
Speaker:
Carolin Torchiani (TU Kaiserslautern)
Abstract:
In algebraic geometry, one studies degree 
rational curves in 
which intersect fixed general linear spaces and which are tangent to a fixed hyperplane 
with fixed multiplicities. It is possible to derive a recursive formula for the number of such curves when the number is finite. These recursive formulas require as only input that there is exactly one line in 
through two points.
The first aim of the talk is to transfer these concepts to tropical geometry, considering the moduli space 
of parametrized rational smooth 
-marked curves in 
of given degree 
. The subcycle parametrizing curves which intersect fixed tropical linear spaces and whose unbounded ends intersect a hyperplane with fixed multiplicities along given linear spaces can be described by means of intersection theory. The second aim of the talk is to give the ideas for deriving the tropical equivalent of the algebraic recursive formula by purely tropical means, i.e. without referring to a correspondence theorem, using combinatoric arguments and applying intersection theory.
