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The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are studied. We first lo

Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic famil

This book covers the following three topics in a manner accessible to graduate students who have an understanding of algebraic number theory and scheme theoreti

We study Hilbert modular forms in characteristic $p$ and over $p$-adic rings. In the characteristic $p$ theory we describe the kernel and image of the $q$-expan