Monotone Lagrangian tori and Mirror symmetry of Fano varieties

Yunhyung Cho (Sungkyunkwan University)

19-Jan-2023, 16:00-17:00 (14 months ago)

Abstract: This is a survey talk of current progress of mirror symmetry of Fano varieties. For a given smooth Fano variety X, it has been conjectured that there exists a Laurent polynomial called a (weak) Landau-Ginzburg mirror (or weak LG mirror shortly) which encodes a quantum cohomology ring structure of X. Tonkonog proved that one can find a weak LG mirror using a monotone Lagrangian torus in X. In this talk I will explain how to find a monotone Lagrangian torus using a Fano toric degeneration of X. If time permits, I will also describe a monotone Lagrangian torus in a given flag variety.

algebraic geometrydifferential geometrysymplectic geometry

Audience: researchers in the topic


Geometria em Lisboa (IST)

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