D. Gaitsgory

activity

19982005

most citedThe notion of category over an algebraic stack

31 citations · 42 across the 8 of their papers we have counts for

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10 papers · 1 filter

math.AG2005★ 31 cited

The notion of category over an algebraic stack

Dennis Gaitsgory

The goal of this note is to spell out the (apparently well-known and intuitively clear) notion of abelian category over an algebraic stack. In the future we will discuss the (much…

math.AG2004★ 3 cited

Hecke operators on quasimaps into horospherical varieties

D. Gaitsgory, D. Nadler

Let $G$ be a connected reductive complex algebraic group. This paper is part of a project devoted to the space $Z$ of meromorphic quasimaps from a curve into an affine spherical $G…

math.AG2004★ 3 cited

On de Jong's conjecture

Dennis Gaitsgory

Let $X$ be a smooth projective curve over a finite field $F_{q}$ . Let $ρ$ be a continuous representation $π (X) \to G L_{n} (F)$ , where $F = F_{l} ((t))$ with $F_{l}$ being another finite field o…

math.AG2002

On a vanishing conjecture appearing in the geometric Langlands correspondence

D. Gaitsgory

Let $X$ be a smooth complete curve, and let $B u n_{n}$ be the moduli stack of rank $n$ vector bundles on $X$ . Let $E$ be a local system on $X$ . In a recent paper of E.Frenkel, K.Vilon…

math.AG2002

Uhlenbeck spaces for $A^{2}$ and affine Lie algebra $s l^_{n}$

Michael Finkelberg, Dennis Gaitsgory, Alexander Kuznetsov

We introduce an Uhlenbeck closure of the space of based maps from projective line to the Kashiwara flag scheme of an untwisted affine Lie algebra. For the algebra $s l^_{n}$ this…

math.AG2000

The gerbe of Higgs bundles

R. Donagi, D. Gaitsgory

The purpose of this work is to describe the (category of) Higgs bundles on a complex scheme X having a given cameral cover X~. We show that this category is a T_{X~}-gerbe, where T…