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This collection of cutting-edge articles on vector bundles and related topics originated from a CMI workshop, held in October 2006, that brought together a community indebted to the pioneering work of P. E. Newstead, visiting the United States for the first time since the 1960s. Moduli spaces of vector bundles were then in their infancy, but are now, as demonstrated by this volume, a powerful tool in symplectic geometry, number theory, mathematical physics, and algebraic geometry. In fact, the impetus for this volume was to offer a sample of the vital convergence of techniques and fundamental progress, taking place in moduli spaces at the outset of the twenty-first century. This volume conta...
In September 1997, the Working Week on Resolution of Singularities was held at Obergurgl in the Tyrolean Alps. Its objective was to manifest the state of the art in the field and to formulate major questions for future research. The four courses given during this week were written up by the speakers and make up part I of this volume. They are complemented in part II by fifteen selected contributions on specific topics and resolution theories. The volume is intended to provide a broad and accessible introduction to resolution of singularities leading the reader directly to concrete research problems.
The topological fundamental group of a smooth complex algebraic variety is poorly understood. One way to approach it is to consider its complex linear representations modulo conjugation, that is, its complex local systems. A fundamental problem is then to single out the complex points of such moduli spaces which correspond to geometric systems, and more generally to identify geometric subloci of the moduli space of local systems with special arithmetic properties. Deep conjectures have been made in relation to these problems. This book studies some consequences of these conjectures, notably density, integrality and crystallinity properties of some special loci. This monograph provides a unique compelling and concise overview of an active area of research and is useful to students looking to get into this area. It is of interest to a wide range of researchers and is a useful reference for newcomers and experts alike.
Contains the Society's Proceedings.
Through an examination of Dutch Reformed church records and theological texts, Kyle Dieleman explores the local dynamics of religious life in the early modern Dutch Republic. The book argues that within the religiously plural setting of the Dutch Republic church officials used a variety of means to establish a Reformed identity in their communities. As such, the book explores the topics of church orders, elders and deacons, intra-confessional and inter-confessional conflicts, and Sabbath observance as local means by which small, rural communities negotiated and experienced their religious lives. In exploring rural Dutch Reformed congregations, the book examines the complicated relationships between theology and practice and ‘lay’ and ‘elite’ religion and highlights challenges rural churches faced. As they faced these issues, Dieleman demonstrates that local congregations exercised agency within their lived religious experiences as they sought unique ways to navigate their own Reformed identity within their small, rural communities.
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