Moduli spaces of principal F-bundles
By Y. Varshavsky. 2002
73 citations recorded by the source corpus.
Abstract In this paper we construct certain moduli spaces, which we call moduli spaces of (principal) F-bundles, and study their basic properties. These spaces are associated to triples consisting of a smooth projective geometrically connected curve over a finite field, a split reductive group G, and an irreducible algebraic representation $$\overline{\omega} $$ .of $$\overline{\omega}$$ of $$(\widehat{G})^n/Z(\widehat{G}) $$ Our spaces generalize moduli spaces of F-sheaves, studied by Drinfeld and Lafforgue, which correspond to the case G = GLr and $$\overline{\omega} $$ is the tensor product of the standard representation and its dual. The importance of the moduli spaces of F-bundles is due to the belief that Langlands correspondence is realized in their cohomology.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/4428411cf51fe5e7c7ada6d91b49277dd0260da4
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- The Newton stratification on deformations of local G-shtukas (2008, background): “Besides, it relates the torsors underlying local G-shtukas to global versions as studied by Varshavsky [47].”
- On the formal arc space of a reductive monoid (2014, background): “The Schubert cell Grci,niλ, constructed as a functor as in [21], defines a closed subscheme of Gr which may or may not coincide with Gr MV ci,niλ, but they have the same underlying topological space.”
- Shtukas and the Taylor expansion of L-functions (II) (2015, methodology): “We thank the Mathematisches Forschungsinstitut Oberwolfach to host the Arbeitsgemeinschaft in April 2017 devoted to this paper, and we thank the participants, especially Jochen Heinloth and Yakov Varshavsky, for their valuable feedbacks.”