# VL: Tropical Combinatorics, WS 13/14

Michael
Joswig, Institut
für Mathematik, TU
Berlin.

VL+UE: | Wednesday | 10-12 | (MA 742) |

| Thursday | 14-16 | (MA 648) |

No class on Thursday, Oct 24; instead
see here.
The class on Wednesday, Oct 30, will be moved to MA 621.

See also the Seminar on Tropical Curves in the Summer of 2014.

## Contents

The course will roughly follow my book draft. This is about
a combinatorial perspective on tropical geometry. About two thirds of the course will be held
as lectures, while the remaining third will be exercises.

#### References related to tropical combinatorics

- Itenberg, Mikhalkin and Shustin: Tropical algebraic geometry. Second edition. Oberwolfach Seminars, 35. Birkhäuser Verlag, Basel, 2009.
- Joswig: Essentials of tropical combinatorics, draft of a book, Springer, to appear.
- Maclagan and Sturmfels: Introduction to tropical geometry, draft of a book.

#### General references related to geometric combinatorics

- De Loera, Rambau and Santos: Triangulations, Springer 2010.
- Joswig and Theobald: Polyhedral and algebraic methods in computational geometry, Springer
2013.
- Thomas: Lectures in geometric combinatorics. Student Mathematical Library, 33. IAS/Park City Mathematical Subseries. AMS, Providence, RI; Institute for Advanced Study (IAS), Princeton, NJ, 2006.
- Ziegler: Lectures on polytopes, Springer 1995.

#### Other references

- Cox, Little, O'Shea: Ideals, varieties, and algorithms. Third edition. Undergraduate Texts in Mathematics. Springer, New York, 2007.
- Sturmfels: Gröbner bases and convex polytopes. American Mathematical Society, Providence, RI, 1996.
- Sturmfels: Solving systems of polynomial equations. American Mathematical Society, Providence, RI, 2002.

Michael Joswig
Last modified: Thu Oct 08 15:52:13 CEST 2013