Airy sheaves for reductive groups

DOI10.1112/plms.12494arXiv2111.02256OpenAlexW4308201153MaRDI QIDQ6075057

Masoud Kamgarpour, Lingfei Yi, Konstantin Jakob

Publication date: 20 September 2023

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.02256

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Representations of Lie and linear algebraic groups over local fields (22E50) Linear algebraic groups over local fields and their integers (20G25) Geometric Langlands program (algebro-geometric aspects) (14D24)

Cites Work

• Unnamed Item
• Unnamed Item
• Frenkel-Gross' irregular connection and Heinloth-Ngô-Yun's are the same
• Calculation of \(\ell \)-adic local Fourier transformations
• Vinberg's \(\theta \)-groups in positive characteristic and Kostant-Weierstrass slices
• Epipelagic representations and rigid local systems
• Stacky abelianization of algebraic groups
• On de Jong's conjecture
• Springer isomorphisms in characteristic \(p\)
• A rigid irregular connection on the projective line
• On the calculation of some differential Galois groups
• On the monodromy groups attached to certain families of exponential sums
• Tamely ramified supercuspidal representations of \(Gl_n\)
• Refined anisotropic \(K\)-types and supercuspidal representations
• Unrefined minimal \(K\)-types for \(p\)-adic groups
• Monodromy of Airy and Kloosterman sheaves
• On invariant theory of \(\theta\)-groups
• Kloosterman sheaves for reductive groups
• Bessel \(F\)-isocrystals for reductive groups
• Motives with exceptional Galois groups and the inverse Galois problem
• Local Fourier transforms and rigidity for \({\mathcal D}\)-modules
• Euphotic representations and rigid automorphic data
• The Deligne-Simpson problem for connections on \(\mathbb{G}_m\) with a maximally ramified singularity
• Stokes matrices for Airy equations
• Construction of tame supercuspidal representations
• Exponential Sums and Differential Equations. (AM-124)
• RIGID LOCAL SYSTEMS ON WITH FINITE MONODROMY
• The essentially tame local Langlands correspondence, I
• Rigid Local Systems. (AM-139)
• Rigidity in automorphic representations and local systems
• Rigid connections on P1 via the Bruhat–Tits building
• Topology of the Stokes phenomenon
• On the construction of tame supercuspidal representations
• Geometric Langlands for hypergeometric sheaves
• Purity of equivalued affine Springer fibers
• Exponential Sums, Ree Groups and Suzuki Groups: Conjectures

This page was built for publication: Airy sheaves for reductive groups