The universal valuation of Coxeter matroids
Mariel Supina (KTH Royal Institute of Technology)
Abstract: Matroids subdivisions have rich connections to geometry, and thus we are often interested in functions on matroids that behave nicely with respect to subdivisions, or "valuations". Matroids are naturally linked to the symmetric group; generalizing to other finite reflection groups gives rise to Coxeter matroids. I will give an overview of these ideas and then present some work with Chris Eur and Mario Sanchez on constructing the universal valuative invariant of Coxeter matroids. Since matroids and their Coxeter analogues can be understood as families of polytopes with special combinatorial properties, I will present these results from a polytopal perspective.
commutative algebraalgebraic geometrycombinatorics
Audience: researchers in the topic
Matroids - Combinatorics, Algebra and Geometry Seminar
Organizer: | Ahmed* |
*contact for this listing |