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Seminar of the session "Algebraic topology, geometric and combinatorial group theory"

seminar: Polytopes and moduli of matroids over rings - Seminar of the session "Algebraic topology, geometric and combinatorial group theory"

speaker: Alex Fink (Queen Mary University of London)

abstract: Matroids over rings were introduced by Luca Moci and the speaker as a common generalisation of valuated matroids and arithmetic matroids. This talk reports on a continuation of that work. After introducing matroids over rings and their principal known manifestations, we fully explain the structure of matroids over valuation rings. This leads to a cryptomorphic characterisation in terms of polytopes, and a construction of their parameter space with a tropical Schubert calculus flavour. A few yet-unreconciled clues hint at the existence of a Coxeter generalisation.

timetable:
Mon 16 Feb, 15:00 - 16:00, Aula Dini
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