Strings, Geometry, and Quantum Fields Seminar: Toric ideas for special geometries

Abstract: 

The moment map is a powerful tool in symplectic geometry, with compact symplectic toric manifolds being described by their Delzant polytope. The talk will show how several properties of this picture can be carried over to special geometries via the concept of multi-moment map. The Spin(7) case gives master equations that specialise for smaller dimensional Ricci-flat geometries. Related ideas may be applied to nearly Kähler manifolds in dimension 6.

This is joint work with Thomas Bruun Madsen and Giovanni Russo.