Superschool on Derived Categories and D-branes: Edmonton, Canada, July 17-23, 2016: 240 (Springer Proceedings in Mathematics & Statistics) - Hardcover
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THIS BOOK CONSISTS OF A SERIES OF INTRODUCTORY LECTURES ON MIRROR SYMMETRY AND ITS SURROUNDING TOPICS. THESE LECTURES WERE PROVIDED BY PARTICIPANTS IN THE PIMS SUPERSCHOOL FOR DERIVED CATEGORIES AND D-BRANES IN JULY 2016. TOGETHER, THEY FORM A COMPREHENSIVE INTRODUCTION TO THE FIELD THAT INTEGRATES PERSPECTIVES FROM MATHEMATICIANS AND PHYSICISTS ALIKE. <P>THESE PROCEEDINGS PROVIDE A PLEASANT AND BROAD INTRODUCTION INTO MODERN RESEARCH TOPICS SURROUNDING STRING THEORY AND MIRROR SYMMETRY THAT IS APPROACHABLE TO READERS NEW TO THE SUBJECTS. THESE TOPICS INCLUDE CONSTRUCTIONS OF VARIOUS MIRROR PAIRS, APPROACHES TO MIRROR SYMMETRY, CONNECTIONS TO HOMOLOGICAL ALGEBRA, AND PHYSICAL MOTIVATIONS. OF PARTICULAR INTEREST IS THE CONNECTION BETWEEN GLSMS, D-BRANES, BIRATIONAL GEOMETRY, AND DERIVED CATEGORIES, WHICH IS EXPLAINED BOTH FROM A PHYSICAL AND MATHEMATICAL PERSPECTIVE. THE INTRODUCTORY LECTURES PROVIDED HEREIN HIGHLIGHT MANY FEATURES OF THIS EMERGING FIELD AND GIVE CONCRETE CONNECTIONS BETWEEN THE PHYSICS AND THE MATH.</P><P>MATHEMATICAL READERS WILL COME AWAY WITH A BROADER PERSPECTIVE ON THIS FIELD AND A BIT OF PHYSICAL INTUITION, WHILE PHYSICISTS WILL GAIN AN INTRODUCTORY OVERVIEW OF THE DEVELOPING MATHEMATICAL REALIZATION OF PHYSICAL PREDICTIONS.&NBSP;<BR></P><P></P><P></P>
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This book consists of a series of introductory lectures on mirror symmetry and its surrounding topics. These lectures were provided by participants in the PIMS Superschool for Derived Categories and D-branes in July 2016. Together, they form a comprehensive introduction to the field that integrates perspectives from mathematicians and physicists alike.
These proceedings provide a pleasant and broad introduction into modern research topics surrounding string theory and mirror symmetry that is approachable to readers new to the subjects. These topics include constructions of various mirror pairs, approaches to mirror symmetry, connections to homological algebra, and physical motivations. Of particular interest is the connection between GLSMs, D-branes, birational geometry, and derived categories, which is explained both from a physical and mathematical perspective. The introductory lectures provided herein highlight many features of this emerging field and give concrete connections between the physics and the math.
Mathematical readers will come away with a broader perspective on this field and a bit of physical intuition, while physicists will gain an introductory overview of the developing mathematical realization of physical predictions.
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- VerlagSpringer
- Erscheinungsdatum2018
- ISBN 10 3319916254
- ISBN 13 9783319916255
- EinbandTapa dura
- Auflage1
- Anzahl der Seiten272
- HerausgeberBallard Matthew, Doran Charles, Favero David
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Superschool on Derived Categories and D-branes : Edmonton, Canada, July 17-23, 2016
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Springer International Publishing
(2018)
ISBN 10: 3319916254
ISBN 13: 9783319916255
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Buchbeschreibung Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book consists of a series of introductory lectures on mirror symmetry and its surrounding topics. These lectures were provided by participants in the PIMS Superschool for Derived Categories and D-branes in July 2016. Together, they form a comprehensive introduction to the field that integrates perspectives from mathematicians and physicists alike. These proceedings provide a pleasant and broad introduction into modern research topics surrounding string theory and mirror symmetry that is approachable to readers new to the subjects. These topics include constructions of various mirror pairs, approaches to mirror symmetry, connections to homological algebra, and physical motivations. Of particular interest is the connection between GLSMs, D-branes, birational geometry, and derived categories, which is explained both from a physical and mathematical perspective. The introductory lectures provided herein highlight many features of this emerging field and give concrete connections between the physics and the math.Mathematical readers will come away with a broader perspective on this field and a bit of physical intuition, while physicists will gain an introductory overview of the developing mathematical realization of physical predictions. Artikel-Nr. 9783319916255
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