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Potential automorphy of \hat{G}-local systems

Hot Topics: Recent progress in Langlands Program April 08, 2019 - April 12, 2019

April 12, 2019 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Jack Thorne (Center for Mathematical Sciences)
Location: SLMath: Eisenbud Auditorium
  • Galois representations

  • Automorphic forms

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC



Vincent Lafforgue's work implies the existence of the "automorphic-to-Galois" direction of the Langlands correspondence for reductive groups G over a global field of positive characteristic. I will discuss a potential converse to this for Galois representations with Zariski dense image in the dual group \hat{G}. This is joint work with Gebhard Bockle, Michael Harris, and Chandrashekhar Khare.

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