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Field Arithmetic
Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar measure on the absolute Galois group to replace counting arguments. New Chebotarev density variants interpret diophantine properties. Here we have the only complete treatment of Galois stratifications, used by Denef and Loeser, et al, to study Chow motives of Diophantine statements. Progress from the first edition starts by characterizing the finite-field like P(seudo)A(lgebraically)C(losed) fields. ...
Applications of Curves over Finite Fields
This volume presents the results of the AMS-IMS-SIAM Joint Summer Research Conference held at the University of Washington (Seattle). The talks were devoted to various aspects of the theory of algebraic curves over finite fields and its numerous applications. The three basic themes are the following: 1. Curves with many rational points. Several articles describe main approaches to the construction of such curves: the Drinfeld modules and fiber product methods, the moduli space approach, and the constructions using classical curves. 2. Monodromy groups of characteristic $p$ covers. A number of authors presented the results and conjectures related to the study of the monodromy groups of curves...
Arithmetic Fundamental Groups and Noncommutative Algebra
The arithmetic and geometry of moduli spaces and their fundamental groups are a very active research area. This book offers a complete overview of developments made over the last decade. The papers in this volume examine the geometry of moduli spaces of curves with a function on them. The main players in Part 1 are the absolute Galois group $G {\mathbb Q $ of the algebraic numbers and its close relatives. By analyzing how $G {\mathbb Q $ acts on fundamental groups defined by Hurwitz moduli problems, the authors achieve a grand generalization of Serre's program from the 1960s. Papers in Part 2 apply $\theta$-functions and configuration spaces to the study of fundamental groups over positive c...
Richard Phillips
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Field Arithmetic
Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar measure on the absolute Galois group to replace counting arguments. New Chebotarev density variants interpret diophantine properties. Here we have the only complete treatment of Galois stratifications, used by Denef and Loeser, et al, to study Chow motives of Diophantine statements. Progress from the first edition starts by characterizing the finite-field like P(seudo)A(lgebraically)C(losed) fields. ...
Absorption and Theatricality
With this widely acclaimed work, Michael Fried revised the way in which eighteenth-century French painting and criticism are viewed and understood. Analyzing paintings produced between 1753 and 1781 and the comments of a number of critics who wrote about them, especially Dennis Diderot, Fried discovers a new emphasis in the art of the time, based not on subject matter or style but on values and effects.
Apollonius of Perga's Conica
This volume contains a historically sensitive analysis and interpretation of Apollonius of Perga's Conica, one of the greatest works of Hellenistic mathematics. It provides a long overdue alternative to H. G. Zeuthen's Die Lehre von den Kogelschnitten im Altertum.
Courbet's Realism
"'This book,' Michael Fried's work opens, 'was written not so much chapter by chapter as painting by painting over a span of roughly ten years.' Courbet's Realism is a magnificent work and its very first sentence brings us up against the qualities of mind of its author, qualities that make it as impressive as it is. It allows us to reconstruct the keen eye, the commitment to perception, the gift of rapt concentration, the conviction that great paintings are not necessarily understood easily, and the further conviction that a great painter deserves to get from us as good as he gives. By drawing on these qualities, Fried achieves something out of reach for all but a handful of his colleagues. ...
Recent Developments in the Inverse Galois Problem
This book contains the refereed proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Recent Developments in the Inverse Galois Problem, held in July 1993 at the University of Washington, Seattle. A new review of Serre's Topics in Galois Theory serves as a starting point. The book describes the latest research on explicit presentation of the absolute Galois group of the rationals. Containing the first appearance of generalizations of modular curves, the book presents applications that demonstrate the full scope of the Inverse Galois Problem. In particular, the papers collected here show the ubiquity of the applications of the Inverse Galois Problem and its compelling significan...
Sport Finance
The burgeoning global sport industry is a $500 billion business with no signs of slowing down. For the upper-undergraduate and graduate sport management student exhibiting a penchant for finances and a passion for sports, the field of sport finance presents tremendous career opportunities. No other textbook connects financial principles with real-world sport finance strategies as effectively as Sport Finance, Fifth Edition With HKPropel Access. Emphasizing a more practical approach, the fifth edition goes beyond the what and how of sport finance and dives deeper into the why—the reasoning behind the principles of sport finance—providing students with an even more comprehensive perspectiv...
