Special Holonomy and Geometric Structures on Complex Manifolds

Explore the intricate world of special holonomy and geometric structures on complex manifolds in this 50-minute lecture by Jorge Lauret from Córdoba. Delve into the topic of stable homogeneous Einstein metrics as part of a comprehensive event organized by the Instituto de Matemática Pura e Aplicada (IMPA) in Rio de Janeiro. Discover how manifolds with special geometric structures are understood through actions of Lie groups from Berger's list, and uncover their deep connections to complex and algebraic geometry, global analysis, theoretical physics, and symplectic geometry. Examine a wide range of related topics, including Monge-Ampère equations, quaternionic geometry, twistor theory, non-Kähler complex manifolds, harmonic maps, soliton metrics, homogeneous spaces, integrable systems, gauge theory, geometric flows, and mathematical string- and M-theory.