## Search

Now showing items 1-10 of 21

#### Compact Generation of the Category of D-Modules on the Stack of G-Bundles on a Curve

(2013)

The goal of the paper is to show that the (derived) category of D-modules on the stack \(Bun_G(X)\) is compactly generated. Here X is a smooth complete curve, and G is a reductive group. The problem is that \(Bun_G(X)\) ...

#### Contractibility of the space of rational maps

(Springer Science + Business Media, 2012)

We define an algebro-geometric model for the space of rational maps from a smooth curve X to an algebraic group G, and show that this space is homologically contractible. As a consequence, we deduce that the moduli space ...

#### Deformations of Local Systems and Eisenstein Series

(Springer Science + Business Media, 2008)

#### DG Indschemes

(American Mathematical Society, 2014)

We develop the notion of indscheme in the context of derived algebraic geometry, and study the categories of quasi-coherent sheaves and ind-coherent sheaves on indschemes. The main results concern the relation between ...

#### On Some Finiteness Questions for Algebraic Stacks

(Springer Science + Business Media, 2013)

We prove that under a certain mild hypothesis, the DG category of D-modules on a quasi-compact algebraic stack is compactly generated. We also show that under the same hypothesis, the functor of global sections on the DG ...

#### Weyl Modules and Opers without Monodromy

(Springer-Verlag, 2010)

We prove that the algebra of endomorphisms of a Weyl module of critical level is isomorphic to the algebra of functions on the space of monodromy-free opers on the disc with regular singularity and residue determined by ...

#### Ind-Coherent Sheaves

(Independent University of Moscow, 2013)

We develop the theory of ind-coherent sheaves on schemes and stacks. The category of ind-coherent sheaves is closely related, but inequivalent, to the category of quasi-coherent sheaves, and the difference becomes crucial ...

#### D-Modules on the Affine Flag Variety and Representations of Affine Kac-Moody Algebras

(American Mathematical Society, 2009)

The present paper studies the connection between the category of modules over the affine Kac-Moody Lie algebra at the critical level, and the category of D-modules on the affine flag scheme \(G((t))/I\), where \(I\) is the ...

#### Chiral Koszul Duality

(Springer, 2012)

We extend the theory of chiral and factorization algebras, developed for
curves by Beilinson and Drinfeld (American Mathematical Society Colloquium Publications, 51. American Mathematical Society, Providence, RI, 2004), ...

#### Hecke Operators on Quasimaps into Horospherical Varieties

(University Bielefeld, Fakultat Mathematik, 2009)

Let G be a connected reductive complex algebraic group. This paper and its companion [GN06] are devoted to the space Z of meromorphic quasimaps from a curve into an affine spherical G-variety X. The space Z may be thought ...