Program

Program

• Start: Monday, February 28
• Finish: Friday, March 4

The main topic of this coding workshop is tropical geometry as represented in the book “Introduction to Tropical Algebraic Geometry” by Diane Maclagan and Bernd Sturmfels [MS18]. This includes:

1. Basics of tropical geometry:
   • Tropical numbers
   • Tropical polynomials
   • Tropical matrices
2. Tropical Geometry + Algebraic Geometry:
   • Tropicalization of algebraic varieties
   • Groebner complexes of polynomial ideals
3. Tropical Geometry + Basic Group Theory:
   • see Section 1.6 in [MS18]
4. Tropical Geometry + Basic Number Theory:
   • see Section 2.1 in [MS18]
5. Tropical Geometry + Combinatorics:
   • see Chapter 4 in [MS18]

If time permits, we will look into further topics such as:

• examples from the forthcoming book “Essential of Tropical Combinatorics” by Michael Joswig
• comprehensive visualization of tropical plane curves as in the Singular library tropical.lib
• tropical varieties of neural networks
• tropical jacobians
• 3D printing tropical curves and surfaces

The program below is just a scaffold. If you have any comments or questions, please email Yue.

Sunday

• dinner suggestion: Milano

Monday

• 10:00 Begin of official program, general announcements, group and program planning
• 13:00 Coding sprint

• 16:30 Status reports

• dinner suggestion: Spinnradl

Tuesday

• 09:30 Morning standup
• 10:00 Coding sprint

• 16:30 Status reports

• dinner suggestion: Flammkuche

Wednesday

• 09:30 Morning standup
• 10:00 Coding sprint

• 16:30 Status reports

• dinner suggestion: Brauhaus

Thursday

• 09:30 Morning standup
• 10:00 Coding sprint

• 16:30 Status reports

• dinner suggestion: Bremerhof

Friday

• 09:30 Coding sprint
• 13:30 Final status reports