Andrew Wiles Building
Radcliffe Observatory Quarter
Oxford OX2 6GG
Organizers: Manjul Bhargava (Princeton), Henri Darmon (McGill), Christopher Skinner (Princeton)
The last few years have witnessed a number of developments in the arithmetic of elliptic curves, notably the proof that there are positive proportions of elliptic curves of rank zero and rank one for which the Birch—Swinnerton-Dyer conjecture is true. The proof of this landmark result relies on an appealing mix of diverse techniques arising from the newly resurgent field of arithmetic invariant theory, Iwasara theory, congruences between modular forms, and the theory of Heegner points and related Euler systems. The purpose of this workshop is to survey the proof of this theorem and to describe the new perspectives on the Birch—Swinnterton-Dyer conjecture which it opens up.
Speakers: Mirela Ciperiani (Texas, Austin), Ellen Eischen (Oregon), Benedict Gross (Harvard), Wei Ho (Michigan), Antonio Lei (Laval), Chao Li (Columbia), Kartik Prasanna (Michigan), Victor Rotger (Catalunya), Arul Shankar (Harvard), Ye Tian ( Chinese Academy of Sciences), Eric Urban (Columbia), Rodolfo Venerucci (Duisberg-Essen), Xin Wan (Columbia), Xiaoheng Jerry Wang (Princeton), Andrew Wiles (Oxford), Shou-Wu Zhang (Princeton)
Registration is free but required. To register, please email Naomi Kraker, providing the name of your institution and stating which workshop you wish to attend. Students please also provide a letter of reference from your supervisor. Registration is now closed.