Superschool on Derived Categories and D-branes : Edmonton, Canada, July 17-23, 2016. 1st ed. 2018

種類:

電子ブック

責任表示:

edited by Matthew Ballard, Charles Doran, David Favero, Eric Sharpe

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2018

著者名:

• Ballard, Matthew.
• Doran, Charles.
• Favero, David.
• Sharpe, Eric.
• SpringerLink (Online service)

シリーズ名:

Springer Proceedings in Mathematics & Statistics ; 240

ISBN:

9783319916262 [3319916262]    

注記:

Abelian and Triangulated Categories (C. Hanratty) -- Derived Categories and Derived Functors (N.K. Chidambaram) -- Introduction to Quivers (M. Chinen) -- Semi-orthogonal Decompositions of Derived Categories (Y. Liu) -- Introduction to Bridgeland Stability Conditions (R. Tramel) -- A Brief Introduction to Geometric Invariant Theory (N. Grieve) -- Birational Geometry and Derived Categories (C. Diemer) -- Introduction to Mirror Symmetry (R. Hughes) -- Batyrev Mirror Symmetry (M. Talpo) -- Differential Graded Categories (A.A. Takeda) -- Introduction to Symplectic Geometry and Fukaya Category (A.Z. Zhang) -- Homological Mirror Symmetry (A. Harder) -- The Syz Conjecture Via Homological Mirror Symmetry (D. Bejleri) -- The Derived Category of Coherent Sheaves and B-model Topological String Theory (S. Pietromonaco) -- Introduction to Topological String Theories (K. Osuga) -- An Overview of B-branes in Gauged Linear Sigma Models (N. Ishtiaque).
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 m

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