Proceedings of the 28-th International Conference on Formal Power Series and Algebraic Combinatorics
4-8 Jul 2016 Vancouver, British Columbia (Canada)

Extended abstracts listed by author > Maclagan Diane

Thursday 7
Combinatorics
Cesar Ceballos
› 16:30 - 17:00 (30min)
› Djavad Mowafaghian Cinema
Tropical Ideals
Diane Maclagan  1  , Felipe Rincon  2  
1 : Mathematics Institute, University of Warwick
2 : Department of Mathematics, University of Oslo

We introduce and study a special class of ideals over the semiring of tropical polynomials, which we call
tropical ideals, with the goal of developing a useful and solid algebraic foundation for tropical geometry. We explore
their rich combinatorial structure, and prove that they satisfy numerous properties analogous to classical ideals.



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