Shadows in the Wild - Folded Galleries and Their Applications
2021; Springer Nature; Volume: 124; Issue: 1 Linguagem: Inglês
10.1365/s13291-021-00244-2
ISSN1869-7135
Autores Tópico(s)Advanced Algebra and Geometry
ResumoAbstract 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.
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