SEMIINFINITE SHEAVES ON AFFINE FLAG VARIETIES
Abstract
Abstract We study a category of semiinfinite sheaves on the affine flag variety of a connected reductive algebraic group G , with coefficients in a field k $\Bbbk $ double struck k (of arbitrary characteristic different from that of the base field), generalizing some results of Gaitsgory and showing that this category behaves like familiar categories of sheaves on flag varieties in many respects. Our interest is motivated by expected relations with representation theory of the Lie algebra of the Langlands dual reductive group over k $\Bbbk $ double struck k .
Fields of Study & Subjects
Polynomial and algebraic computation
Tensor decomposition and applications
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Journal of the Institute of Mathematics of Jussieu
- Publisher
- Cambridge University Press (CUP)
- Volume
- 25
- Issue
- 6
- Pages
- 1–71
- Publication date
- 23 September 2026
- Language
- EN