ABSTRACT:
In this minicourse we will discuss the arithmetic properties of del Pezzo surfaces of degree 4. The leading conjecture by Colliot-Thélène and Sansuc states that the Brauer-Manin obstruction is the only one to both weak approximation and the Hasse principle on such varieties. We will touch upon many techniques and results from the literature to prove this conjecture in subfamilies, but the main focus will be the applications of Swinnerton-Dyer's method for the study of fibrations of twists under abelian varieties.
Schedule: Tuesday 21 April, 2pm to 4pm (Venue : Harish-Chandra Hall) and
Wednesday 22 April, 2pm to 4pm (Venue : Chowla Seminar Hall)