MV Polytopes and Masures
Tristan Bozec (IMAG), St\'ephane Gaussent (ICJ)
TL;DR
This paper connects affine Mirkovi{ć}-Vilonen polytopes with masures through Littelmann's path model, providing a new geometric interpretation and analyzing path decorations specifically for sl2.
Contribution
It introduces a novel realization of MV polytopes within the framework of masures using Littelmann's path model, especially for the case of sl2.
Findings
Affine MV polytopes realized via masures
Path decorations interpreted for sl2
Framework bridges combinatorics and geometry
Abstract
We realize affine Mirkovi{\'c}-Vilonen polytopes using Littelmann's path model in the framework of masures. We are also able to read the decorations on the paths in the case of sl2.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · Polynomial and algebraic computation