Combinatorics and Arithmetic for Physics: special days 2023

Collection Combinatorics and Arithmetic for Physics: special days 2023

Organizer(s) Gérard H. E. DUCHAMP, Maxim KONTSEVICH, Gleb KOSHEVOY, Sergei NECHAEV and Karol A. PENSON

Date(s) 15/11/2023 - 17/11/2023

linked URL https://www-lipn.univ-paris13.fr/~duchamp/Conferences/CAP10_2023.html

00:00:00 / 00:00:00

4 27

On Manin–Schechtman orders related to directed graphs

By Gleb Koshevoy

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.

Information about the video

Date of recording 15/11/2023
Date of publication 16/11/2023
Institution IHES
Language English
Audience Researchers
Format MP4

Domain(s)

Combinatorics

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