Orateur
Prof.
Gleb Koshevoy
(IITP, Moscow & IHES)
Description
Studying higher Zamolodchikov equations, in 1989 Manin and Schechtman introduced the notion of a higher Bruhat order on the $d$-element subsets of a set $[n] = {1, 2, . . . , n}$. We consider a wider model, involving the so-called convex order on certain path systems in an acyclic-directed graph, introduce local transformations, or flips, on such orders, and establish a generalization of the Manin-Schechtman results. This is a joint work with V. Danilov and A. Karzanov.
