Langlands Parameterization over Function Fields Following V. Lafforgue

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. 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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Correspondence to Jochen Heinloth.

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

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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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Keywords

  • Langlands correspondence
  • Drinfeld shtukas

Mathematics Subject Classification (2010)

  • 11R39
  • 14D20