For more information about this meeting, contact Robert Vaughan, Karl Schwede, Mihran Papikian, Ae Ja Yee.
|Title:||Hasse principle for generalized Kummer varieties|
|Seminar:||Algebra and Number Theory Seminar|
|Speaker:||Alexei Skorobogatov, Imperial College London|
|Rational points on Kummer varieties can be studied via the variation of Selmer groups of quadratic twists of the underlying abelian variety, using an idea of Swinnerton-Dyer. In joint work with Yonatan Harpaz we consider the case when the Galois action on 2-torsion has a large image. Under a mild additional assumption we prove the Hasse principle assuming the finiteness of relevant Shafarevich-Tate groups. Our approach is inspired by the work of Mazur and Rubin.|
Room Reservation Information
|Date:||09 / 18 / 2014|
|Time:||11:15am - 12:05pm|