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Political Conflict and Development in East Asia and Latin America
Long run processes of socio-economic change generate prodigious problems of social conflict and social control, and governments responsible for these processes must therefore manage the resultant conflict. Consequently, the success or failure of a government's management of such conflicts is a crucial factor in development outcomes. This volume investigates the political struggle for development specifically in two vital regions - East Asia and Latin America. This analysis calls into question the dominant emphasis on institutional and cultural bases for stable growth. A careful historical account of the two regions is presented, which permits the rigorous testing of conventional wisdoms regarding development. Of importance to a broad range of academics in the spheres of development studies, politics, political economy and sociology, this book will also make an interesting read for those with a general interest in these areas.
Berkeley Lectures on P-adic Geometry
Berkeley Lectures on p-adic Geometry presents an important breakthrough in arithmetic geometry. In 2014, leading mathematician Peter Scholze delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory of p-adic geometry. Building on his discovery of perfectoid spaces, Scholze introduced the concept of “diamonds,” which are to perfectoid spaces what algebraic spaces are to schemes. The introduction of diamonds, along with the development of a mixed-characteristic shtuka, set the stage for a critical advance in the discipline. In this book, Peter Scholze and Jared Weinstein show that the moduli space of mixed-characteristic shtukas is a diamond, rai...
How China is Reshaping the Global Economy
China's growing economic involvement in Sub-Saharan Africa and Latin America has been a source of major controversy. This book sheds light on these controversies through a comparative study of China's impact on the two regions.
Representations of Groups
Survey and research articles from the June 1994 seminar address representations of Lie algebraic, finite, and quantum groups and the relationships among these areas. Topics include complex reflection groups and their associated braid groups; automata to perform basic calculations in Coxeter groups; Heck algebras and representations of finite reductive groups; and Koszul algebras and duality. Of interest to graduate students and research mathematicians. No index. Annotation copyright by Book News, Inc., Portland, OR
A Survey of the Hodge Conjecture
This book provides an introduction to a topic of central interest in transcendental algebraic geometry: the Hodge conjecture. Consisting of 15 lectures plus addenda and appendices, the volume is based on a series of lectures delivered by Professor Lewis at the Centre de Recherches Mathematiques (CRM). The book is a self-contained presentation, completely devoted to the Hodge conjecture and related topics. It includes many examples, and most results are completely proven or sketched. The motivation behind many of the results and background material is provided. This comprehensive approach to the book gives it a ``user-friendly'' style. Readers need not search elsewhere for various results. The book is suitable for use as a text for a topics course in algebraic geometry; includes an appendix by B. Brent Gordon.
Bimonoids for Hyperplane Arrangements
The goal of this monograph is to develop Hopf theory in a new setting which features centrally a real hyperplane arrangement. The new theory is parallel to the classical theory of connected Hopf algebras, and relates to it when specialized to the braid arrangement. Joyal's theory of combinatorial species, ideas from Tits' theory of buildings, and Rota's work on incidence algebras inspire and find a common expression in this theory. The authors introduce notions of monoid, comonoid, bimonoid, and Lie monoid relative to a fixed hyperplane arrangement. They also construct universal bimonoids by using generalizations of the classical notions of shuffle and quasishuffle, and establish the Borel-Hopf, Poincar -Birkhoff-Witt, and Cartier-Milnor-Moore theorems in this setting. This monograph opens a vast new area of research. It will be of interest to students and researchers working in the areas of hyperplane arrangements, semigroup theory, Hopf algebras, algebraic Lie theory, operads, and category theory.
Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms
This volume presents a panorama of the diverse activities organized by V. Heiermann and D. Prasad in Marseille at the CIRM for the Chaire Morlet event during the first semester of 2016. It assembles together expository articles on topics which previously could only be found in research papers. Starting with a very detailed article by P. Baumann and S. Riche on the geometric Satake correspondence, the book continues with three introductory articles on distinguished representations due to P. Broussous, F. Murnaghan, and O. Offen; an expository article of I. Badulescu on the Jacquet–Langlands correspondence; a paper of J. Arthur on functoriality and the trace formula in the context of "Beyond Endoscopy", taken from the Simons Proceedings; an article of W-W. Li attempting to generalize Godement–Jacquet theory; and a research paper of C. Moeglin and D. Renard, applying the trace formula to the local Langlands classification for classical groups. The book should be of interest to students as well as professional researchers working in the broad area of number theory and representation theory.
Classical Algebraic Geometry
Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers and to others who are interested in applying classical results. The vast bibliography of over 600 references is complemented by an array of exercises that extend or exemplify results given in the book.
Category Theory 1991: Proceedings of the 1991 Summer Category Theory Meeting, Montreal, Canada
Twenty-seven papers address applications of category theory in new domains as well as in its traditional contexts. Among the topics: a Stone duality for metric spaces; sheaves in cocomplete categories; completeness in continuity spaces; dualities for accessible categories; some problems in descriptive locale theory; modeling homotopy coherence; and functorial selection of morphisms. No index. Annotation copyright by Book News, Inc., Portland, OR
