The Eigenbook Eigenvarieties, families of Galois representations, p-adic L-functions

<p>​This book discusses the <i>p</i>-adic modular forms, the eigencurve that parameterize them, and the <i>p</i>-adic <i>L</i>-functions one can associate to them. These theories and their generalizations to automorphic forms for group of higher ranks are of fundamental importance in number theory.</p><p></p><p>For graduate students and newcomers to this field, the book provides a solid introduction to this highly active area of research. For experts, it will offer the convenience of collecting into one place foundational definitions and theorems with complete and self-contained proofs.</p><p></p><p>Written in an engaging and educational style, the book also includes exercises and provides their solution.</p>