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
Abstract:
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