seminar: Global points on Shimura curves

speaker: Alexei Skorobogatov (Imperial College London)

abstract: It is an open question whether all counterexamples to the Hasse principle on smooth projective curves over number fields are due to the Manin obstruction. Following Mazur's approach Bruce Jordan proved in the 1980-s that global points don't exist on certain Shimura curves, producing counterexamples to the Hasse principle. I'll show how these can be explained using descent with respect to the so called `Shimura covering'. I'll also review other known counterexamples to the Hasse principle on Shimura curves and their relation to the Manin obstruction.

timetable:
Thu 7 Jul, 10:00 - 11:00, Sala Conferenze Centro De Giorgi
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