Vortrag im Schwerpunkt Reelle Geometrie und Algebra
Donnerstag, 22. November 2007, um 17:00 Uhr in F426 (Kolloquium) Ilia Itenberg (Strasbourg) Tropical Geometry and Enumeration of Real Rational Curves
ABSTRACT: The purpose of the talk is to make an introduction to tropical geometry and to present several
applications of tropical geometry
to complex and real enumerative problems. Tropical geometry has
deep relations with many branches of mathematics.
An important link between the complex algebraic world and the
tropical one is given by Mikhalkin's correspondence theorem.
We discuss various versions of correspondence theorems, which
together with Welschinger's discovery of a real analog of genus
zero Gromov-Witten invariants produce new results
on enumeration of real rational curves.
