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

intangibility

Batyrev Mirror Symmetryolytopes. We revisit the example of the quintic threefold in this language, and briefly mention connections with later developments, such as the Batyrev–Borisov construction for complete intersections in Fano toric varieties, and the Gross–Siebert program.

药物

Introduction to Homological Mirror Symmetry, so that the properties of . associated to the complex structure (e.g. periods, bounded derived category of coherent sheaves) reproduce properties of . associated to its symplectic structure (e.g. counts of pseudo holomorphic curves and discs).

JUST

Introduction to Topological String Theories to give a main idea of topological string theories as one of examples of mirror symmetry without any technical details. This means that some definitions are somewhat mathematically less rigorous but we rather show intuitive analyses instead. Readers should be familiar with GR, QFT, SUSY, CFT and some basics of string theories.

FILTH

transplantation

Dappled

ERUPT

Slit-Lamp

Tincture

Introduction to Symplectic Geometry and Fukaya CategoryWe give a brief introduction to symplectic manifolds and Fukaya Category in this manuscript.

paroxysm

The SYZ Conjecture via Homological Mirror SymmetryThese are expanded notes based on a talk given at the Superschool on Derived Categories and .-branes held at the University of Alberta in July of 2016. The goal of these notes is to give a motivated introduction to the Strominger-Yau-Zaslow (SYZ) conjecture from the point of view of homological mirror symmetry.