Support singulier et homologie des fibres de Springer affines

التفاصيل البيبلوغرافية
العنوان: Support singulier et homologie des fibres de Springer affines
المؤلفون: Bouthier, Alexis
سنة النشر: 2022
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry, Mathematics - Group Theory, Mathematics - Representation Theory
الوصف: We develop a theory of singular support for various infinite dimensional stacks and establish several functoriality properties. Then we apply this theory to compute the singular support of the Grothendieck-Springer affine Springer sheaf and rely it to the local constancy conjecture of Goresky-Kottwitz-McPherson on the homology of affine Springer fibers along the root valuation stratification.
Comment: Improved existence results, paper reorganized
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2202.12017
رقم الأكسشن: edsarx.2202.12017
قاعدة البيانات: arXiv