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.