SoSe 16: Tropical Geometry
Christian Haase
Additional information / Pre-requisites
major source:
Diane Maclagan, Bernd Sturmfels: Introduction to tropical geometry, AMS
also
Il'ja V. Itenberg; Grigory Mikhalkin; Eugenii Shustin: Tropical algebraic geometry, Birkhäuser
Michael Joswig: Essentials of Tropical Combinatorics, Springer (in Vorbereitung)
Grigory Mikhalkin, Johannes Rau: Tropical Geometry, in Vorbereitung
Comments
Content: Tropical geometry is an exciting new field at the interface between algebraic geometry and combinatorics with connections to many other fields. At its heart it is geometry over the tropical semiring, which is ℝ∪{∞} with the usual operations of addition and multiplication replaced by minimum and addition respectively. This turns polynomials into piecewise-linear functions, and replaces an algebraic variety by an object from polyhedral geometry, which can be regarded as a “combinatorial shadow” of the original variety.
close14 Class schedule
Regular appointments