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Geometry, Combinatorics and Integrable Systems Seminar - Fu Liu

Fu Liu
April 4, 2019
3:00 pm - 4:00 pm
Math Building 317

Title: Combinatorics of nested Braid fans

Speaker: Fu Liu (University of California Davis)

Abstract: Generalized permutohedra are defined as polytopes obtained from usual permutohedra by moving facets without passing vertices; or equivalently they are polytopes whose normal fan coarsens the Braid fan. We wanted to generalize this construction by allowing "passing some vertices". In joint work with Castillo, we consider a refinement of the Braid fan, called the nested Braid fan, and construct generalized nested permutohedra which have the nested Braid fan refining their normal fan. We extend many results on generalized permutohedra to this new family of polytopes.

Seminar URL: https://research.math.osu.edu/gcis/

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Seminar - Geometry, Combinatorics and Integrable Systems