Berlin Mathematical School
Short Course: September 12-16

Combinatorial Introduction to Tropical Geometry

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

Instructor: Bernd Sturmfels

The schedule is listed below. Click here for a longish list of references on tropical geometry.
Some lecture notes will be made available. You can access them by clicking on each lecture.

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: Tropical Convexity
10:00-11:00 Exercises
11:00-12:00 Lecture 5: Grassmannians and the Space of Trees
Contributed Talks:
13:30 Kerstin Hept (Frankfurt): Tropical Bases by Regular Projections
14:10 Henning Meyer (Kaiserslautern): Faces of Tropical Polytopes
14:50 Janko Boehm (Saarbruecken): Mirror Symmetry and Tropical Geometry
16:00-... Exercises and Informal Discussions

Friday, September 14
9:00-10:00 Lecture 6: Linear Spaces
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
18:00-... Dinner at Zwoelf Apostel (Savignyplatz)

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