Matroid and delta-matroid tautological classes

  • Alex Fink (Queen Mary University of London)
G3 10 (Lecture hall)


Relationships between matroids and the permutahedral toric variety are central to matroid Hodge theory. One might wish to generalise these relationships, and the Hodge theory, to delta-matroids, which are Coxeter type B objects. I'll introduce delta-matroids and present one such relationship, inspired by the work of Berget-Eur-Spink-Tseng. Its consequences include volume polynomial formulae and positivity results for invariants like the interlace polynomial. This talk is based on joint work with Chris Eur, Matt Larson and Hunter Spink.

Mirke Olschewski

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