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Classically Semisimple Rings
Classically Semisimple Rings is a textbook on rings, modules and categories, aimed at advanced undergraduate and beginning graduate students. The book presents the classical theory of semisimple rings from a modern, category-theoretic point of view. Examples from algebra are used to motivate the abstract language of category theory, which then provides a framework for the study of rings and modules, culminating in the Wedderburn–Artin classification of semisimple rings. In the last part of the book, readers are gently introduced to related topics such as tensor products, exchange modules and C*-algebras. As a final flourish, Rickart’s theorem on group rings ties a number of these topics together. Each chapter ends with a selection of exercises of varying difficulty, and readers interested in the history of mathematics will find biographical sketches of important figures scattered throughout the text. Assuming previous knowledge in linear and basic abstract algebra, this book can serve as a textbook for a course in algebra, providing students with valuable early exposure to category theory.
Invariant Subspaces of the Shift Operator
This volume contains the proceedings of the CRM Workshop on Invariant Subspaces of the Shift Operator, held August 26-30, 2013, at the Centre de Recherches Mathématiques, Université de Montréal, Montréal, Quebec, Canada. The main theme of this volume is the invariant subspaces of the shift operator (or its adjoint) on certain function spaces, in particular, the Hardy space, Dirichlet space, and de Branges-Rovnyak spaces. These spaces, and the action of the shift operator on them, have turned out to be a precious tool in various questions in analysis such as function theory (Bieberbach conjecture, rigid functions, Schwarz-Pick inequalities), operator theory (invariant subspace problem, co...
Publications
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From Migrant to Acadian
N.E.S. Griffiths uses the results of forty-five years of archival research in Canada, the United States, the United Kingdom, France, and Italy to place Acadian history in the context of contemporary North American and European events. She emphasizes relationships with the Mi'kmaq, showing they were of crucial importance in the development of Acadian identity, land-holding practices, settlement patterns, religious beliefs, and family structure. From Migrant to Acadian also explains how the imperial ambitions of both the French and the British collided with the strong belief of the Acadians in their own identity, resulting in the tragic deportation of the majority of the Acadian community in 1755. Although never achieving political independence, the Acadians forged a connection with Canada's broader national identity and continue to play a significant role in the Canadian mosaic.
The Possession at Loudun
It is August 18, 1634. Father Urbain Grandier, convicted of sorcery that led to the demonic possession of the Ursuline nuns of provincial Loudun in France, confesses his sins on the porch of the church of Saint-Pierre, then perishes in flames lit by his own exorcists. A dramatic tale that has inspired many artistic retellings, including a novel by Aldous Huxley and an incendiary film by Ken Russell, the story of the possession at Loudun here receives a compelling analysis from the renowned Jesuit historian Michel de Certeau. Interweaving substantial excerpts from primary historical documents with fascinating commentary, de Certeau shows how the plague of sorceries and possessions in France t...
Parliamentary Papers
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Mathematical Research Today and Tomorrow
The Symposium on the Current State and Prospects of Mathematics was held in Barcelona from June 13 to June 18, 1991. Seven invited Fields medalists gavetalks on the development of their respective research fields. The contents of all lectures were collected in the volume, together witha transcription of a round table discussion held during the Symposium. All papers are expository. Some parts include precise technical statements of recent results, but the greater part consists of narrative text addressed to a very broad mathematical public. CONTENTS: R. Thom: Leaving Mathematics for Philosophy.- S. Novikov: Role of Integrable Models in the Development of Mathematics.- S.-T. Yau: The Current State and Prospects of Geometry and Nonlinear Differential Equations.- A. Connes: Noncommutative Geometry.- S. Smale: Theory of Computation.- V. Jones: Knots in Mathematics and Physics.- G. Faltings: Recent Progress in Diophantine Geometry.
Invisible No More
Words and Images from the Heart of Vincenzo Pietropaolo... --
