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Moment map and orbital integrals

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Friday, February 08, 2019
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3:15 pm - 4:15 pm
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Yiannis Sakellaridis (Rutgers University-Newark)
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Algebraic Geometry Seminar

In the Langlands program, it is essential to understand spaces of Schwartz measures on quotient stacks like the (twisted) adjoint quotient of a reductive group. The generalization of this problem to spherical varieties calls for an understanding of the double quotient H\G/H, where H is a spherical subgroup of G. This has been studied by Richardson for symmetric spaces. In this talk, I will present a new approach, for spherical varieties "of rank one", based on Friedrich Knop's theory of the moment map and the invariant collective motion.