**Date and location:**

May 9 – 13, 2016, Hausdorff Center for Mathematics, Endenicher Allee 62, Lipschitz Hall

Schedule

**Speakers:**

- Elizabeth Baldwin (London School of Economics)
- Michael Joswig (TU Berlin)
- Diane Maclagan (University of Warwick)
- Kazuo Murota (Tokyo Metropolitan University)
- John Weymark (Vanderbilt University)
- Yoshinori Shiozawa (Osaka City University)

**About**

Tropical geometry is the study of geometric and combinatorial structures arising from doing arithmetic where “addition” is taking maximum and “multiplication” is the usual addition. As tropical polynomials are convex piecewise linear functions, many combinatorial optimization problems have simple descriptions in terms of tropical polynomials. Methods from polyhedral geometry are well-suited for problems arising from tropical geometry and its applications.

Tropical mathematics provides a natural language for making connections between different mathematical areas and with applications. Recent advances in tropical geometry and tropical combinatorics make new progress possible for various application areas. In the last two years, tropical geometry has appeared in auction theory and trade theory in economics, linking it with developments in discrete convexity theory. This has led to new, exciting open problems in tropical geometry, economics and combinatorics.

This summer school aims to bring graduate students, postdocs, and researchers on this topic together for one intensive week. There will be three sets of lectures on economics, tropical geometry, and discrete convex analysis. Particular focus will be on open problems and interactions between participants with different interests and backgrounds.