The Strominger-Yau-Zaslow conjecture and its impact
Kwokwai Chan
TL;DR
This paper reviews the development and significance of the SYZ conjecture in understanding the geometric foundations of mirror symmetry since its proposal in 1996.
Contribution
It provides a comprehensive survey of the progress and impact of the SYZ conjecture on the field of mirror symmetry.
Findings
The SYZ conjecture has been central to advancing geometric understanding of mirror symmetry.
Progress has been made in formulating and testing the conjecture over the past decades.
The conjecture continues to influence research directions in mathematical physics and geometry.
Abstract
This article surveys the development of the SYZ conjecture since it was proposed by Strominger, Yau and Zaslow in their famous 1996 paper, and discusses how it has been leading us to a thorough understanding of the geometry underlying mirror symmetry.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometry and complex manifolds · Geometric Analysis and Curvature Flows