Special Holonomy and Geometric Structures on Complex Manifolds

Explore a 58-minute lecture on "Cubic Differentials and Harmonic Maps into an Asymptotic Cone" delivered by John Loftin from Rutgers University. Delve into the intricate world of special holonomy and geometric structures on complex manifolds, examining the relationships 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. Gain insights from this presentation, part of a broader event organized by the Instituto de Matemática Pura e Aplicada (IMPA) in Rio de Janeiro, featuring an international organizing committee of renowned mathematicians.

Special Holonomy and Geometric Structures on Complex Manifolds - John Loftin (Rutgers)