29 avril 2020

Tristan Clifford Collins (MIT)
The deformed Hermitian-Yang-Mills equation and geometric invariant theory

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Lieu : Zoom - Demander le lien à
jean-michel.bismut chez math.u-psud.fr

Résumé : I will discuss the deformed Hermitian-Yang-Mills (dHYM) equation, a nonlinear PDE which plays an important role on the complex side of mirror symmetry, analogous to the role of special Lagrangians in symplectic geometry. In particular, I will explain how ideas from Geometric Invariant Theory can be used to study the correspondence between algebro-geometric notions of stability and existence of solutions to the dHYM equation. This is joint work with S.-T. Yau.

The deformed Hermitian-Yang-Mills equation and geometric invariant theory  Version PDF