Special Holonomy and Geometric Structures on Complex Manifolds

Explore a 54-minute lecture on special holonomy and geometric structures on complex manifolds delivered by Lorenzo Foscolo from Rome. Delve into topics such as hypertoric varieties, W-Hilbert schemes, and Coulomb branches as part of a broader conference on manifolds with special geometric structures. Gain insights into the relationships between differential geometry, complex and algebraic geometry, global analysis, theoretical physics, and symplectic geometry. Learn about Monge-Ampère type 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. Presented by the Instituto de Matemática Pura e Aplicada (IMPA) in Rio de Janeiro, this lecture is part of a series featuring renowned mathematicians and researchers in the field.