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Titlebook: Superschool on Derived Categories and D-branes; Edmonton, Canada, Ju Matthew Ballard,Charles Doran,Eric Sharpe Conference proceedings 2018

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书目名称Superschool on Derived Categories and D-branes
副标题Edmonton, Canada, Ju
编辑Matthew Ballard,Charles Doran,Eric Sharpe
视频video
概述Gives a broad perspective on the field, perfect for a graduate student seminar.Distills intuition from physics for mathematicians, concretely expressing how the mathematics developed from the physics.
丛书名称Springer Proceedings in Mathematics & Statistics
图书封面Titlebook: Superschool on Derived Categories and D-branes; Edmonton, Canada, Ju Matthew Ballard,Charles Doran,Eric Sharpe Conference proceedings 2018
描述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 d
出版日期Conference proceedings 2018
关键词symlectic geometry; SYZ conjecture; Batyrev mirror symmetry; topological string theories; Bridgeland sta
版次1
doihttps://doi.org/10.1007/978-3-319-91626-2
isbn_softcover978-3-030-06270-5
isbn_ebook978-3-319-91626-2Series ISSN 2194-1009 Series E-ISSN 2194-1017
issn_series 2194-1009
copyrightSpringer International Publishing AG, part of Springer Nature 2018
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An Overview of B-branes in Gauged Linear Sigma Modelsrts of the CY Kähler moduli space .. For a fixed ., all these descriptions should in fact be equivalent in a categorical sense and we review some aspects of this equivalence from a physical perspective. This is a short summary of the results of the comprehensive work by Herbst, Hori and Page [.] with some elementary commentary.
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Introduction to Differential Graded Categoriesenhancement. This talk is purely expository and does not contain original material; it is mostly based on B. Keller’s excellent survey on dg categories [.], and whenever possible I have used notation compatible with that source. I also included material and examples from the other sources listed as references as well.
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Birational Geometry and Derived Categoriesrch articles for details. Given the background of the participants of the Alberta superschool, these notes take the somewhat unorthodox approach of assuming that the reader has modest familiarity with derived and triangulated categories, but is perhaps not as familiar with the more cabalistic aspects of birational geometry.
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Introduction to Quiverswith a set of relations .) and its path algebra . / . where . is a two sided ideal generated by .. We use the Beilinson quiver for . with relations as an example to illustrate the bounded quiver and its corresponding path algebra.
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Conference proceedings 2018 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 surrou
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Introduction to Quiverse a short introduction for quivers and algebras produced from those quivers, called path algebras. We first look at basic definitions of quivers . and path algebras .. We also cover some algebraic properties of path algebras in order to have a better understanding of the category of finite represent
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