Shadows in the wild -- folded galleries and their applications
Representation Theory
2021-11-29 v2 Algebraic Geometry
Combinatorics
Group Theory
History and Overview
Abstract
This survey is about combinatorial objects related to reflection groups and their applications in representation theory and arithmetic geometry. Coxeter groups and folded galleries in Coxeter complexes are introduced in detail and illustrated by examples. Further it is explained how they relate to retractions in Bruhat-Tits buildings and to the geometry of affine flag varieties and affine Grassmannians. The goal is to make these topics accessible to a wide audience.
Cite
@article{arxiv.2109.02293,
title = {Shadows in the wild -- folded galleries and their applications},
author = {Petra Schwer},
journal= {arXiv preprint arXiv:2109.02293},
year = {2021}
}
Comments
review article, 40 pages, 20 figures, to appear in Jahresbericht der DMV. Comments welcome