The course will be held online. The zoom link for the lectures will be shared with the registered participants.
Prerequisites: Diskrete Geometrie I and Algorithmische Diskrete Mathematik I
The type of evaluation is Portfolioprüfung. Participants are required to give a presentation and write short lecture notes about one of the selected topics.
Content:
The purpose of this seminar is to learn about recent advances in combinatorial aspects of tropical geometry.
Topics treated in the seminar include
- tropical convexity and tropical polytopes
- tropical techniques in graph algorithms
- tropical linear programming.
The main reference will be the upcoming book
Essential of Tropical Combinatorics written by Michael Joswig.
Presentations:
January 14
- 14:00-15:00: Tropical Convexity
- 15:00-16:00: Combinatorics of Tropical Polytopes
- 16:15-17:15: Tropical Linear Programming
- 17:15-18:15: Tropical Linear Programming
January 21
- 14:00-15:00: Graph Algorithms and Polyhedra
- 15:00-16:00: Product of Tropical Polynomials
- 16:15-17:15: Matroids and Tropical Linear Spaces
- 17:15-18:15: Matroids and Tropical Linear Spaces
Meetings:
- Thursday, November 5, 14:00-16:00: Introductory meeting. Slides.
- Thursday, November 12, 14:00-16:00: Tropical Hypersurfaces. Slides.
- Thursday, November 19, 14:00-16:00: Fields of Power Series and Tropicalization. Slides.
- Thursday, November 26, 14:00-16:00: Examples and Topics. Slides.
- Thursday, December 03, 14:00-16:00: Assignment of Topics
- Thurday, January 07, 14:00 - 16:00: Questions