Slices in the loop spaces of symmetric varieties and the formality conjecture

Autor:	Chen, Tsao-Hsien, Yi, Lingfei
Rok vydání:	2023
Předmět:	Mathematics - Representation Theory Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We construct transversal slices to the closures of spherical and Iwahori orbits in loop spaces of symmetric varieties generalizing a construction of Mars-Springer in the finite dimensional setting. We show that those slices are isomorphic to certain Lagrangian subvarieties of the affine Grassmannian slices. We provide applications to the formality conjecture in relative Langlands duality. Comment: 20 pages. Add the orbits parametrization and slices construction of Iwahori orbits
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.20006 Zobrazit plný text záznamu View this record from Arxiv