Moduli, Motives, Mirrors (Plenary talk at the 3rd ECM, Barcelona, July 10-14, 2000)
Yuri I. Manin
TL;DR
This paper provides an overview of Mirror Symmetry, highlighting recent mathematical developments since Kontsevich's report, and discusses the interplay between moduli spaces, motives, and mirror pairs.
Contribution
It summarizes key progress in Mirror Symmetry research post-Kontsevich, emphasizing the connections with motives and moduli spaces.
Findings
Advances in understanding mirror pairs
Development of motivic approaches to Mirror Symmetry
Compilation of extensive bibliography on the topic
Abstract
This talk is dedicated to various aspects of Mirror Symmetry. It summarizes some of the mathematical developments that took place since M. Kontsevich's report at the Z\"urich ICM and provides an extensive, although not exhaustive, bibliography.
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Taxonomy
TopicsNonlinear Waves and Solitons · Geometric and Algebraic Topology · Advanced Algebra and Geometry