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Tropical oriented matroids (and triangulations of products of simplices)
Student-Run Discrete Math SeminarSpeaker: | Kristen Freeman, UC Davis |
Location: | 2112 MSB |
Start time: | Thu, Jan 21 2010, 12:10PM |
I will briefly go over what tropical geometry is and then review the definition of tropical oriented matroids and triangulations of products of simplices. Then I will discuss how to walk around a triangulation and outline a proof that when $n=3$ there is a one to one correspondence between the triangulations of the product of simplices, $\Delta_{n-1} \times \Delta_{d-1}$, and tropical oriented matroids with parameters $(n,d)$.