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Raman Parimala (Emory University, USA)
2025-06-10  14:10 - 15:10
Room 202, Astronomy and Mathematics Building

Study of  Hasse principle for homogeneous spaces under connected linear algebraic groups over number fields stretches over a long period beginning with the theorem of Hasse and Minkowski for quadrics. There are analogous questions for function fields of curves over number fields and p-adic fields which have deep arithmetic consequences. We shall describe progress in this direction especially for function fields of p-adic curves. We also explain a  more general study of Hasse principle over `semiglobal fields', namely function fields of curves over complete discrete valued fields.