Local-global principles for homogeneous spaces over arithmetic function fields - Julia Hartmann

AGNES 2023
April 30, 2023
Stony Brook University
Speaker: Julia Hartmann (University of Pennsylvania)
Abstract: Classically, local-global principles for rational points on homogeneous spaces under linear algebraic groups are studied over number fields and function fields of curves over finite fields. In this talk, we consider analogous questions for function fields of curves over complete discretely valued fields. These fields naturally admit several collections of overfields with respect to which one can study local-global principles. These are accessible using methods that come from patching and are related to formal and rigid geometry. (Joint work with J.L.-Colliot-Thélène, D. Harbater, D. Krashen, R. Parimala, and V. Suresh. )
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