<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.<
Theory of p-adic Galois Representations [draft]
✍ Scribed by Jean-Marc Fontaine, Yi Ouyang
- Year
- 2007
- Tongue
- English
- Leaves
- 257
- Category
- Library
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
This book discusses the p-adic modular forms, the eigencurve that parameterize them, and the p-adic L-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. For graduate students an
This volume is an outgrowth of the program <em>Modular Representation Theory of Finite and <em>p</em>-Adic Groups</em> held at the Institute for Mathematical Sciences at National University of Singapore during the period of 1–26 April 2013. It contains research works in the areas of modular represen
<p><span>This book discusses the </span><span>p</span><span>-adic modular forms, the eigencurve that parameterize them, and the </span><span>p</span><span>-adic </span><span>L</span><span>-functions one can associate to them. These theories and their generalizations to automorphic forms for group o
Traditionally, $p$-adic $L$-functions have been constructed from complex $L$-functions via special values and Iwasawa theory. In this volume, Perrin-Riou presents a theory of $p$-adic $L$-functions coming directly from $p$-adic Galois representations (or, more generally, from motives). This theory e