A special case of the GRS Conjecture predicts a surprising link between values of derivatives of p-adic and global L-functions. Recently, Dasgupta-Kakde-Ventullo have used Hida families of modular forms to make progress towards the proof of a rational form of this special case. In  this lecture I will report on an independent approach and progress  towards the integral GRS conjecture, building upon my  joint work with Greither in equivariant Iwasawa theory.