Functors given by kernels, adjunctions and duality

DOI10.1090/jag/654zbMath1339.14015arXiv1303.2763OpenAlexW2591998832MaRDI QIDQ2804213

Dennis Gaitsgory

Publication date: 28 April 2016

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2763

zbMATH Keywords

D-modulescompactly generated categoriesFourier-Mukai transforms

Mathematics Subject Classification ID

Related Items (10)

An analog of the Deligne-Lusztig duality for \((\mathfrak{g}, K)\)-modules ⋮ Adjoints to a Fourier-Mukai functor ⋮ Nearby cycles on Drinfeld-Gaitsgory-Vinberg interpolation Grassmannian and long intertwining functor ⋮ Deligne-Lusztig duality on the stack of local systems ⋮ The center of the categorified ring of differential operators ⋮ \(\mathcal{W}\)-algebras and Whittaker categories ⋮ A "strange" functional equation for Eisenstein series and miraculous duality on the moduli stack of bundles ⋮ Tempered D-modules and Borel-Moore homology vanishing ⋮ On the Deligne-Lusztig involution for character sheaves ⋮ A generalization of the b-function lemma

Cites Work

• On some finiteness questions for algebraic stacks
• Crystals and D-modules
• Compact generation of the category of D-modules on the stack of \(G\)-bundles on a curve
• Contractibility of the space of rational maps
• A duality formalism in the spirit of Grothendieck and Verdier
• A "strange" functional equation for Eisenstein series and miraculous duality on the moduli stack of bundles
• Ind-coherent sheaves

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