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Geometrization of the local Langlands correspondence

Derived algebraic geometry and its applications March 25, 2019 - March 29, 2019

March 28, 2019 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Laurent Fargues (Institut de Mathématiques de Jussieu)
Location: MSRI: Simons Auditorium
  • p-adic Hodge theory

  • local Langlands correspondence

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I will review my geometrization conjecture of the local Langlands correspondence and my ongoing work with Peter Scholze about the construction of local Langlands parameters. I will mainly focus on the central object I introduced 4 years ago: the stack Bun_G of G-bundles on the curve.

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