|
Session 30. Real Algebraic Geometry, applications and related topics
|
Constructing real algebraic curves by using tropical geometry |
Johannes Rau, Universität des Saarlandes, Germany
|
|
|
One of the origins of tropical geometry is Viro's combinatorial
patchworking techniques, a powerful tool to construct real algebraic
curves in the plane with specified topological properties (number
and arrangement of ovals). In my talk, I will try to give an
overview on the generalizations of this technique provided by
tropical geometry and discuss two applications: The topological
classification of real rational nodal quintics in the plane (joint
work with Itenberg and Mikhalkin) and the computation of *real*
double Hurwitz numbers (joint work with Markwig). [No prior
knowledge of tropical geometry or Viro's patchworking will be
required.]
|
|
| Print version |
|
