**Problem of the Week**

**Math Club**

**BUGCAT**

**Zassenhaus Conference**

**Hilton Memorial Lecture**

**BingAWM**

seminars:comb:abstract.201105rin

Tropical geometry studies an algebraic variety *X* by 'tropicalizing' it into a polyhedral complex that retains much of the information about *X*. In the case where *X* is a linear space the resulting polyhedral complex has a beautiful combinatorial structure related to the matroid of *X*, and for many applications it is desirable to have an explicit description of what this complex is.

In this talk I will give a quick introduction to tropical geometry and tropical linear spaces, and I will explain how they can be used to get a handle on classical *A*-discriminants. Also, I will describe an effective algorithm for computing the tropicalization of a linear space. There will be several examples, pictures, and software demonstrations.

No previous knowledge of tropical geometry (or discriminants) will be assumed.

seminars/comb/abstract.201105rin.txt · Last modified: 2020/01/29 14:03 (external edit)

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