On the Thomas-Yau conjecture

Abstract: The Thomas-Yau conjecture is an open-ended program to relate special Lagrangians to stability conditions in Floer theory, but the precise notion of stability is subject to many interpretations. I will focus on the exact case (Stein Calabi-Yau manifolds), and deal only with almost calibrated Lagrangians. I will attempt a formulation of Thomas-Yau semistability condition (meant to be less ambitious than Joyce’s program), and focus primarily on the symplectic aspects, and the technique of integration over the moduli space of holomorphic discs.

algebraic geometrydifferential geometrysymplectic geometry

Audience: researchers in the topic

Geometria em Lisboa (IST)

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