MATE 3149 Combinatoria de Politopos
This course provides an introduction to the basic concepts and some important applications of tropical geometry. The mains goals of this course are as follows:
- Understand the basic concepts of tropical geometry, tropical varieties, stable intersections, and matroidal fans.
- Understand the basic proof techniques in polyhedral geometry and acquire sufficient technical background to perform simple arguments independently.
- Learn about some important applications of tropical geometry. Understand the basic ideas and techniques behind these applications without knowing all the details.
- Learn about some recent research directions in tropical geometry. Build up an intuition for the general ideas, in conjunction with the ability to work out or research details if necessary.
- Work in groups on small research projects related to tropical geometry.
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