Mirror symmetry is a somewhat mysterious phenomenon that relates the geometry of two distinct Calabi-Yau manifolds. In the realm of trying to understand this relationship an equation for a connection on a line bundle in a Kahler manifold appeared. This is commonly called the deformed Hermitian-Yang-Mills equation and I will explain what it is and the current joint work with Benoit Charbonneau and Rosa Sena-Dias which explicitly solves this equation on a specific setting. This helps in understanding the problem of the existence of solutions and ruling out possible stability conditions.

Date and Venue

Start Date
Venue
FC1 0.29
End Date

Speaker

Goncalo Oliveira

Speaker's Institution

Instituto Superior Tecnico, Lisboa.

Files

Area

Geometry and Topology