Valuation Theory and Its Applications, Volume II
Valuation Theory and Its Applications, Volume II

Author: Franz-Viktor Kuhlmann

Publisher: American Mathematical Soc.

Published: 2002

Total Pages: 473

ISBN-13: 0821832069

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This book is the second of two proceedings volumes stemming from the International Conference and Workshop on Valuation Theory held at the University of Saskatchewan (Saskatoon, SK, Canada). It contains the most recent applications of valuation theory to a broad range of mathematical ideas. Valuation theory arose in the early part of the twentieth century in connection with number theory and continues to have many important applications to algebra, geometry, and analysis. The research and survey papers in this volume cover a variety of topics, including Galois theory, the Grunwald-Wang Theorem, algebraic geometry, resolution of singularities, curves over Prufer domains, model theory of valued fields and the Frobenius, Hardy fields, Hensel's Lemma, fixed point theorems, and computations in valued fields. It is suitable for graduate students and research mathematicians interested in algebra, algebraic geometry, number theory, and mathematical logic.

Valuation Theory and Its Applications
Valuation Theory and Its Applications

Author: Franz-Viktor Kuhlmann

Publisher: American Mathematical Soc.

Published: 2002

Total Pages: 472

ISBN-13:

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This book is the first of two proceedings volumes stemming from the International Conference and Workshop on Valuation Theory held at the University of Saskatchewan (Saskatoon, SK, Canada). The special feature of this book is its focus on current applications of valuation theory to a broad range of topics. This first volume contains research and survey papers on a variety of valuation-theoretic topics, including rigid analytic geometry, real algebraic geometry, resolution of singularities, noncommutative valuation theory, valuations on fields, and Galois theory. Also included is a paper on the history of valuation theory. The book is suitable for graduate students and research mathematicians working in algebra, algebraic geometry, number theory, and mathematical logic.

Standards of Value
Standards of Value

Author: Jay E. Fishman

Publisher: John Wiley & Sons

Published: 2013-04-12

Total Pages: 496

ISBN-13: 1118238915

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Expert direction on interpretation and application of standards of value Written by Jay Fishman, Shannon Pratt, and William Morrison—three renowned valuation practitioners—Standards of Value, Second Edition discusses the interaction between valuation theory and its judicial and regulatory application. This insightful book addresses standards of value (SOV) as applied in four distinct contexts: estate and gift taxation; shareholder dissent and oppression; divorce; and financial reporting. Here, you will discover some of the intricacies of performing services in these venues. Features new case law in topics including personal good will and estate and gift tax, and updated to cover the new standards issued since the first edition Includes an updated compendium discussing the standards of value by state, new case law covering divorce, personal goodwill, and estate and gift tax, and coverage of newly issues financial standards Shows how the Standard of Value sets the appraisal process in motion and includes the combination of a review of court cases with the valuator's perspective Addresses the codification of GAAP and updates SOV in individual states Get Standards of Value, Second Edition and discover the underlying intricacies involved in determining "value."

Valuation Theory and Its Applications
Valuation Theory and Its Applications

Author: Franz-Viktor Kuhlmann

Publisher: American Mathematical Soc.

Published:

Total Pages: 478

ISBN-13: 9780821885901

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This book is the second of two proceedings volumes stemming from the International Conference and Workshop on Valuation Theory held at the University of Saskatchewan (Saskatoon, SK, Canada). It contains the most recent applications of valuation theory to a broad range of mathematical ideas. Valuation theory arose in the early part of the twentieth century in connection with number theory and continues to have many important applications to algebra, geometry, and analysis. The research and survey papers in this volume cover a variety of topics, including Galois theory, the Grunwald-Wang Theorem, algebraic geometry, resolution of singularities, curves over Prufer domains, model theory of valued fields and the Frobenius, Hardy fields, Hensel's Lemma, fixed point theorems, and computations in valued fields. It is suitable for graduate students and research mathematicians interested in algebra, algebraic geometry, number theory, and mathematical logic.

High Primes and Misdemeanours
High Primes and Misdemeanours

Author: Hugh C. Williams

Publisher: American Mathematical Soc.

Published:

Total Pages: 412

ISBN-13: 9780821887592

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This volume consists of a selection of papers based on presentations made at the international conference on number theory held in honor of Hugh Williams' sixtieth birthday. The papers address topics in the areas of computational and explicit number theory and its applications. The material is suitable for graduate students and researchers interested in number theory.

Representations of Algebras and Related Topics
Representations of Algebras and Related Topics

Author: Ragnar-Olaf Buchweitz

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 418

ISBN-13: 0821834150

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Twelve-year-old Molly and her ten-year-old brother, Michael, have never liked their younger stepsister, Heather. Ever since their parents got married, she's made Molly and Michael's life miserable. Now their parents have moved them all to the country to live in a house that used to be a church, with a cemetery in the backyard. If that's not bad enough, Heather starts talking to a ghost named Helen and warning Molly and Michael that Helen is coming for them. Molly feels certain Heather is in some kind of danger, but every time she tries to help, Heather twists things around to get her into trouble. It seems as if things can't get any worse. But they do -- when Helen comes. "Genuinely scary, complete with dark secrets from the past, unsettled graves, and a very real ghost." -- The Bulletin of the Center for Children's Books "An unusually scary, well-crafted ghost fantasy." -- Kirkus Reviews

Vertex Operator Algebras in Mathematics and Physics
Vertex Operator Algebras in Mathematics and Physics

Author: Stephen Berman

Publisher: American Mathematical Soc.

Published: 2003

Total Pages: 265

ISBN-13: 0821828568

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Vertex operator algebras are a class of algebras underlying a number of recent constructions, results, and themes in mathematics. These algebras can be understood as ''string-theoretic analogues'' of Lie algebras and of commutative associative algebras. They play fundamental roles in some of the most active research areas in mathematics and physics. Much recent progress in both physics and mathematics has benefited from cross-pollination between the physical and mathematical points of view. This book presents the proceedings from the workshop, ''Vertex Operator Algebras in Mathematics and Physics'', held at The Fields Institute. It consists of papers based on many of the talks given at the conference by leading experts in the algebraic, geometric, and physical aspects of vertex operator algebra theory. The book is suitable for graduate students and research mathematicians interested in the major themes and important developments on the frontier of research in vertex operator algebra theory and its applications in mathematics and physics.

Handbook of Geometry and Topology of Singularities IV
Handbook of Geometry and Topology of Singularities IV

Author: José Luis Cisneros-Molina

Publisher: Springer Nature

Published: 2023-11-10

Total Pages: 622

ISBN-13: 3031319257

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This is the fourth volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of research. This volume consists of twelve chapters which provide an in-depth and reader-friendly survey of various important aspects of singularity theory. Some of these complement topics previously explored in volumes I to III. Amongst the topics studied in this volume are the Nash blow up, the space of arcs in algebraic varieties, determinantal singularities, Lipschitz geometry, indices of vector fields and 1-forms, motivic characteristic classes, the Hilbert-Samuel multiplicity and comparison theorems that spring from the classical De Rham complex. Singularities are ubiquitous in mathematics and science in general. Singularity theory is a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other subjects. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics which are linked to each other in fundamental ways. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.

Value Functions on Simple Algebras, and Associated Graded Rings
Value Functions on Simple Algebras, and Associated Graded Rings

Author: Jean-Pierre Tignol

Publisher: Springer

Published: 2015-04-03

Total Pages: 652

ISBN-13: 3319163604

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This monograph is the first book-length treatment of valuation theory on finite-dimensional division algebras, a subject of active and substantial research over the last forty years. Its development was spurred in the last decades of the twentieth century by important advances such as Amitsur's construction of non crossed products and Platonov's solution of the Tannaka-Artin problem. This study is particularly timely because it approaches the subject from the perspective of associated graded structures. This new approach has been developed by the authors in the last few years and has significantly clarified the theory. Various constructions of division algebras are obtained as applications of the theory, such as noncrossed products and indecomposable algebras. In addition, the use of valuation theory in reduced Whitehead group calculations (after Hazrat and Wadsworth) and in essential dimension computations (after Baek and Merkurjev) is showcased. The intended audience consists of graduate students and research mathematicians.

Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1
Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1

Author: Raf Cluckers

Publisher: Cambridge University Press

Published: 2011-09-22

Total Pages: 347

ISBN-13: 1139499793

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Assembles different theories of motivic integration for the first time, providing all of the necessary background for graduate students and researchers from algebraic geometry, model theory and number theory. In a rapidly-evolving area of research, this volume and Volume 2, which unite the several viewpoints and applications, will prove invaluable.