Thursday, November 2, 2017
4:00 pm
Building 15, Room 104 – Building 15

Number Theory Seminar

The pseudo-identity operator on automorphic functions
Jonathan Wang, School of Mathematics, Institute for Advanced Study
Let F be a function field and G a connected split reductive group over F. We define a "pseudo-identity operator" between spaces of automorphic functions on G(A)/G(F), and show that this operator is natural from the viewpoint of the geometric Langlands program via the functions-sheaves dictionary. We discuss how to define this operator over a number field by relating it to pseudo-Eisenstein series and inversion of the standard intertwining operator. The pseudo-identity operator is also connected to Deligne-Lusztig duality and cohomological duality of representations over a local field.
Contact Mathematics Department mathinfo@caltech.edu at 626-3954335
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