# John Coates' 70th birthday proceedings

Following the March 2015 conference in honour of John Coates' 70th birthday, a proceedings volume has been published in Springer's *Proceedings in Mathematics and Statistics* series. The editors of this volume are Sarah Zerbes and myself, and its title is

*Elliptic Curves, Modular Forms and Iwasawa Theory (in honour of John Coates' 70th birthday).*

See Springer's website for more information. The volume contains the following papers:

- A. Berti, M. Bertolini and R. Venerucci,
*Congruences between modular forms and the Birch and Swinnerton-Dyer conjecture* - T. Bouganis,
*P-adic measures for Hermitian modular forms and the Rankin–Selberg method* - A. Conti, A. Iovita and J. Tilouine,
*Big image of Galois representations associated with finite slope p-adic families of modular forms* - A. Dąbrowski, T. Jędrzejak and L. Symaszkiewicz,
*Behaviour of the order of Tate–Shafarevich groups for the quadratic twists of X*_{0}(49) - T. Fukaya, K. Kato and R. Sharifi,
*Compactifications of S-arithmetic quotients for the projective general linear group* - R. Greenberg,
*On the structure of Selmer groups* - H. Hida,
*Control of Λ-adic Mordell-Weil groups* - M. Kakde,
*Some congruences for non-CM elliptic curves* - M. Kim,
*Diophantine geometry and non-abelian reciprocity laws I* - G. Kings,
*On p-adic interpolation of motivic Eisenstein classes*

- T. Lawson and C. Wuthrich,
*Vanishing of some Galois cohomology groups for elliptic curves* - P. Schneider and O. Venjakob,
*Coates–Wiles homomorphisms and Iwasawa cohomology for Lubin–Tate extensions* - A. Snowden and A. Wiles,
*Big image in compatible systems*