Superschool on Derived Categories and D-branes Edmonton, Canada, July 17-23, 2016 /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Ballard, Matthew (Editor, http://id.loc.gov/vocabulary/relators/edt), Doran, Charles (Editor, http://id.loc.gov/vocabulary/relators/edt), Favero, David (Editor, http://id.loc.gov/vocabulary/relators/edt), Sharpe, Eric (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Springer Proceedings in Mathematics & Statistics, 240
• Subjects: Differential geometry.; Mathematical physics.; Differential Geometry.; Mathematical Physics.

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...

Table of Contents:

• 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).