Raman Parimala

Abstract:   Let F be the function field of a surface over a finite field or the function field of a curve over a p-adic field. A certain local to global principle for degree three Galois cohomology of F leads to interesting consequences--every quadratic form in nine variables over function fields of nondyadic p-adic curves has a nontrivial zero. We shall explain this local-global principle and some of its consequences.

Here are some directions to Northeastern University. Lake Hall and Nightingale Hall can be best accessed from the entrance on the corner of Greenleaf Street and Leon Street. The two halls are connected, with no well-defined boundary in between. In particular, 509 Lake Hall is on the same corridor as 544 Nightingale Hall.

There is free parking available for people coming to the Colloquium at Northeastern's visitor parking (Rennaisance Garage). The entrance is from Columbus Avenue. If coming by car, you should park there and take the parking talon. After the lecture, you may pick up the payment coupon from Andrei Zelevinsky.