Preface.- John Coates, Dohyeong Kim: Introduction to the work of M. Kakde on the non-commutative main conjectures for totally real fields.- R. Sujatha: Reductions of the main conjecture.- Ted Chinburg, Georgios Pappas, Martin J. Taylor: The group logarithm past and present .- Peter Schneider, Otmar Venjakob: K_1 of certain Iwasawa algebras, after Kakde.- Mahesh Kakde: Congruences between abelian p-adic zeta functions.- Otmar Venjakob: On the work...