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A biased view of mirror symmetry

Yankı Lekili
Institution: 
Kings College London
Schedule: 
Wednesday, October 28, 2020 - 16:00
Location: 
Online
Location: 
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Abstract: 

Mirror symmetry is one of the most striking developments in modern mathematics whose scope extends to very different fields of pure mathematics.  It predicts a broad correspondence between two sub-fields of geometry - symplectic geometry and algebraic geometry. Homological mirror symmetry uses the language of triangulated categories to give a mathematically precise meaning to this correspondence. Since its announcement, by Kontsevich in ICM (1994), it has attracted huge attention and over the years several important cases of it have been established.  Despite significant progress, many central problems inthe field remain open.  After reviewing the general theory, I will survey some of my own results on mirror symmetry.

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