Tufts Algebra, Geometry, and Number Theory Seminar
2023-04-06
Speaker: Julia Hartmann (UPenn)
Title: Local-global principles for linear algebraic groups over arithmetic function fields
Abstract: Arithmetic function fields are one variable function fields over complete discretely valued fields. These fields naturally admit several collections of overfields with respect to which one can study local-global principles. The talk will concern local-global principles for torsors under linear algebraic groups, coming from patching. (Joint work with J.L.-Colliot-Thélène, D. Harbater, D. Krashen, R. Parimala, and V. Suresh. )