ABSTRACT:
Serre's Conjecture II predicts that, over cohomological dimension 2 fields, principal homogeneous spaces under semisimple simply connected groups have rational points. In this series of lectures, I will present this conjecture and explain the main known results related to it. At the end of the lectures, I will take time to explain in detail a recent result obtained together with Lucchini Arteche and that shows that it is enough to prove the conjecture for characteristic 0 fields.
Schedule: Tuesday 21 April, 11am to 1pm (Venue : Harish-Chandra Hall) and
Wednesday 22 April, 11am to 1pm (Venue : Chowla Seminar Hall)