Relative Langlands and Endoscopy

Abstract: In this talk, I will discuss the motivation for a theory of endoscopy in the context of the relative Langlands program. I then outline the construction of endoscopic varieties, which are spherical varieties of an associated endoscopic group. The construction works for most hyperspherical varieties induced from symmetric varieties, and relies on new rationality results for such varieties. We highlight the role played by the dual Hamiltonian variety associated to a symmetric variety a la Ben-Zvi, Sakellaridis, and Venkatesh.

algebraic geometrynumber theory

Audience: researchers in the topic

MIT number theory seminar

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