Special Holonomy and Geometric Structures on Complex Manifolds

Explore a 49-minute lecture on non-Kähler manifolds via mapping tori, delivered by Anna Fino from Miami/Torino. Delve into the world of special geometric structures on manifolds, examining their connections to Lie group actions from Berger's list. Discover the intricate relationships between differential geometry and fields like complex and algebraic geometry, global analysis, theoretical physics, and symplectic geometry. Investigate topics such as Monge-Ampère equations, special holonomy, quaternionic geometry, twistor theory, harmonic maps, Einstein and soliton metrics, homogeneous spaces, integrable systems, gauge theory, geometric flows, and mathematical string- and M-theory. Gain insights from this lecture, 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.