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

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...

Full description

Bibliographic Details
Other Authors: Ballard, Matthew (Editor), Doran, Charles (Editor), Favero, David (Editor), Sharpe, Eric (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2018, 2018
Edition:1st ed. 2018
Series:Springer Proceedings in Mathematics & Statistics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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)