Secondary fans of hypersimplices and finite metric spaces

  • Laura Casabella (MPI MiS, Leipzig)
G3 10 (Lecture hall)


The secondary fan of a polytope stratifies the regular subdivisions of the polytope. We compute this fan for the hypersimplices $\Delta(2,7)$ and $\Delta(3,6)$. We also find new families of rays of the secondary fan of $\Delta(k,n)$ which do not lie on the respective Dressians.
In the special case $k=2$ our results are closely related to metric spaces on $n$ points.

This is joint work with Michael Joswig and Lars Kastner.

Mirke Olschewski

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