1.

Record Nr.

UNINA9910816801103321

Autore

Milicevic Elizabeth

Titolo

Dimensions of affine Deligne-Lusztig varieties : a new approach via labeled folded alcove walks and root operators / / Elizabeth Milicevic, Petra Schwer, Anne Thomas

Pubbl/distr/stampa

Providence, RI : , : American Mathematical Society, , [2019]

2019

ISBN

1-4704-5403-3

9781470454043

Descrizione fisica

1 online resource (114 pages) : color illustrations

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; September 2019, volume 261, number 1260

Classificazione

20G2505E1020F5551E24

Disciplina

512/.2

Soggetti

Automorphic forms

Geometry, Algebraic

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Preliminaries on Weyl groups, affine buildings, and related notions -- Labelings and orientations, galleries, and alcove walks -- Dimensions of galleries and root operators -- Affine Deligne-Lusztig varieties and folded galleries -- Explicit constructions of positively folded galleries -- The varieties Xx(1) in the shrunken dominant Weyl chamber -- The varieties Xx(1) and Xx(b) -- Conjugating to other Weyl chambers -- Diagram automorphisms -- Applications to affine Hecke algebras and affine reflection length.