Special Holonomy and Geometric Structures on Complex Manifolds

Special Holonomy and Geometric Structures on Complex Manifolds

Explore the intricate world of special holonomy and geometric structures on complex manifolds in this 51-minute lecture by Adrián Andrada from Córdoba. Delve into the canonical bundle of complex manifolds underlying compact hypercomplex manifolds, part of a broader conference on manifolds with special geometric structures. Examine the connections between differential geometry, complex and algebraic geometry, global analysis, theoretical physics, and symplectic geometry. Discover topics such as Monge-Ampère equations, quaternionic geometry, twistor theory, non-Kähler complex manifolds, harmonic maps, Einstein and soliton metrics, homogeneous spaces, integrable systems, gauge theory, geometric flows, and mathematical string- and M-theory.