Title: Hasse principles over function fields of p-adic curves
Abstract: Obstructions to the Hasse principle for the existence of rational points on principal homogeneous
spaces under connected linear algebraic groups over a number field are well understood. Similar questions of
Hasse principle have been studied over more general fields, particularly, function fields of curves over complete
discrete valued fields. There are several positive results in this direction for connected linear algebraic groups
which are rational, thanks to the patching techniques developed by Harbater-Hartmann-Krashen. We shall
explain some recent progress and open questions concerning Hasse principle for function fields of p-adic
curves.
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