Editors Balasubramanyam, Hido, Raghuram, and Tilouine present readers with a collection of scholarly contributions toward an understanding p-adic families and p-adic L-functions and their use in linear groups, symplectic groups, and definite unitary groups. The ten selections that make up the main body of the text are devoted to an overview of Serrs p-adic modular forms, p-adic families of ordinary Siegel cusp forms, ordinary families of automorphic forms on definite unitary groups, notes on modularity lifting in the ordinary case, and many other related subjects. Baskar Balasubramanyam and A. Raghuram are faculty members of IISER Pune in India. Haruzo Hida is a faculty member of the University of California Los Angeles. Jacques Tilouine is a faculty member of Universit<e> Paris 13 in France. Annotation ©2017 Ringgold, Inc., Portland, OR (protoview.com)
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 look at p-adic families in the following cases: general linear groups, symplectic groups and definite unitary groups. We also look at applications of this theory to modularity lifting problems. We finally consider p-adic L-functions for GL(2), the p-adic adjoint L-functions and some cases of higher GL(n).
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