Thomas Haines - Böcker

This is the second volume of a series of mainly expository articles on the arithmetic theory of automorphic forms. It forms a sequel to On the Stabilization of the Trace Formula published in 2011. The books are intended primarily for two groups of readers: those interested in the structure of automorphic forms on reductive groups over number fields, and specifically in qualitative information on multiplicities of automorphic representations; and those interested in the classification of I-adic representations of Galois groups of number fields. Langlands' conjectures elaborate on the notion that these two problems overlap considerably. These volumes present convincing evidence supporting this, clearly and succinctly enough that readers can pass with minimal effort between the two points of view. Over a decade's worth of progress toward the stabilization of the Arthur-Selberg trace formula, culminating in Ngo Bau Chau's proof of the Fundamental Lemma, makes this series timely.

This book constitutes revised selected papers from the workshops that were affiliated with the 26th International Conference on Financial Cryptography and Data Security, FC 2022, which was held in Grenada during May 2022. FC 2022 presents the following four workshops:CoDecFin 2022: 3rd Workshop on Coordination of Decentralized FinanceDeFi 2022: 2nd Workshop on Decentralized FinanceVoting 2022: 7th Workshop on Advances in Secure Electronic VotingWTSC 2022: 6th Workshop on Trusted Smart Contracts