
10:05  10.55 (+ epilogue until 11.30)
in
Carslaw 709 on Friday 7 March
Victor Flynn
The BrauerManin Obstruction on Curves
When a variety violates the Hasse principle, this can
be due to an obstruction known as the BrauerManin obstruction.
It is an unsolved problem whether all violations of the
Hasse principle on curves are due to this obstruction.
I shall describe computations in progress which test
a wide selection of curves, and tries to test for these examples
whether the BrauerManin obstruction is the cause
of all violations of the Hasse principle. This has involved
the development of several new techniques, exploiting
the embedding of a curve in its Jacobians via a rational
divisor class of degree 1.
