University of Birmingham > Talks@bham > Optimisation and Numerical Analysis Seminars > Signed tropical convexity

Signed tropical convexity

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  • UserGeorg Loho (London School of Economics)
  • ClockWednesday 23 October 2019, 12:00-13:00
  • HouseStrathcona, SR5.

If you have a question about this talk, please contact Sergey Sergeev.

Convexity for the max-plus algebra has been studied from different directions including discrete geometric, scheduling, computational complexity. As there is no inverse for the max-operation, this used to rely on an implicit non-negativity assumption. We remove this restriction by introducing `signed tropical convexity’.Our notion has several natural formulations in terms of balance relations, polytopes over Puiseux series and hyperoperations. We obtain several structural theorems including a new Farkas lemma and a Minkowski-Weyl theorem for polytopes over the signed tropical numbers.

This talk is part of the Optimisation and Numerical Analysis Seminars series.

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