PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan, 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

Room Number:MB106
Date:09 / 18 / 2014
Time:11:15am - 12:05pm