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Langlands Parameterization over Function Fields Following V. Lafforgue

Acta Mathematica Vietnamica volume 43, pages 45–66 (2018)Cite this article

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Abstract

These are a slightly expanded notes of an expository talk on V. Lafforgue’s construction of one direction (called automorphic to Galois) of the Langlands correspondence for function fields.

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Notes

  1. As we work over the fixed base field k, we will write × for the fiber product × k .

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Acknowledgments

I would like to thank B. C. Ngô for the invitation to VIASM and many discussions. Also I would like to thank the participants of the Forschungsseminar on [8] in Essen for all of their comments and discussions.

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Authors and Affiliations

  1. Fachbereich Mathematik, Universität Duisburg–Essen, Universitätsstrasse 2, 45117, Essen, Germany

    Jochen Heinloth

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  1. Jochen Heinloth
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Correspondence to Jochen Heinloth.

Additional information

Lecture at the Annual Meeting 2016 of the Vietnam Institute for Advanced Study in Mathematics

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Cite this article

Heinloth, J. Langlands Parameterization over Function Fields Following V. Lafforgue. Acta Math Vietnam 43, 45–66 (2018). https://doi.org/10.1007/s40306-017-0244-x

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  • DOI: https://doi.org/10.1007/s40306-017-0244-x

Keywords

  • Langlands correspondence
  • Drinfeld shtukas

Mathematics Subject Classification (2010)

  • 11R39
  • 14D20