Berlin Mathematical School

Short Course: September 12-16

Combinatorial Introduction to Tropical Geometry

Instructor: Bernd Sturmfels

Venue: TU Berlin, Mathematics Building, Strasse des 17. Juni 136, Third Floor, Room MA 314.

Schedule:

Wednesday, September 12:
8:45-9:00 Welcome
9:00-10:00 Lecture 1: Tropical Arithmetic and Polynomials
10:00-11:00 Exercises
11:00-12:00 Lecture 2: Puiseux Series and Tropical Hypersurfaces
13:30-15:00 Exercises
15:00-16:00 Lecture 3: Computing Tropical Varieties
16:00-... Software session led by Anders Jensen: GFan, Polymake etc

Thursday, September 13
9:00-10:00 Lecture 4: Grassmannians and the Space of Trees
10:00-11:00 Exercises
11:00-12:00 Lecture 5: Linear Spaces and their F-Vectors
13:30-15:30 Contributed Talks
16:00-17:30 Exercises
18:00-... Dinner

Friday, September 14
9:00-10:00 Lecture 6: Tropical Convexity
10:00-11:00 Exercises
11:00-12:00 Lecture 7: What is the Rank of a Matrix ?
13:30-15:30 Exercises
15:30-16:30 Lecture 8: Elimination and Implicitization
16:30-... Informal Discussions

Saturday, September 15
9:00-10:00 Lecture 9: Tropical Discriminants
10:00-11:00 Exercises
11:00-12:00 Lecture 10: Counting Curves
12:00-... Informal Discussions over Lunch