Summer semester 2021
DI. Dr. Sebastian Falkensteiner
|Time and location:||Thu 15:30 – 17:00 (two-week),||S3 047 (or via Zoom)|
|First meeting:||11 March|
Lecture: A theoretical introduction into the area of Tropical Geometry will be presented. Tropical Geometry can be understand as a piecewise linear version of Algebraic Geometry. The applications reach to well-known problems in Algebra, Geometry, Combinatorics and Differential Algebra.
Video records will be of about 1 hour length and should be watched in advance to the corresponding meeting. The questions related to the content will be discussed in the meeting. For a (positive) grade these questions have to be worked out and submitted.
The course will mainly follow
|11.03. Tropical Semiring||11.03. Tropical Polynomials||25.03. Valuations||22.04. Algebraic Varieties||22.04. Tropical Varieties||06.05. Convex Geometry||20.05. Initials and Gröbner Bases||Initials and Groebner Bases.png||10.06. Tropical Linear Algebra||Linear Algebra.png||24.06. Graph Theory in Tropical Linear Algebra||Graph Theory in Tropical Linear Algebra.png|
Questions which will be discussed: