Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the stack of semistable $G$-bundles over an elliptic curve   In a recent paper Ben-Zvi and Nadler proved that the induction map from
$B$-bundles of degree 0 to semistable $G$-bundles of degree 0 over an elliptic
curve is a small map with Galois group isomorphic to the Weyl group of $G$. We
generalize their result to all connected components of $\Bun_G$ for an
arbitrary reductive group $G$. We prove that for every degree (i.e. topological
type) there exists a unique parabolic subgroup such that any semistable
$G$\nobreakdash-bundle of this degree has a reduction to it and moreover the
induction map is small with Galois group the relative Weyl group of the Levi.
This provides new examples of simple automorphic sheaves which are constituents
of Eisenstein sheaves for the trivial local system.

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The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga