Special Holonomy and Geometric Structures on Complex Manifolds

Explore a 52-minute lecture on flows of SU(2)-structures delivered by Udhav Fowdar from Unicamp as part of a conference on Special Holonomy and Geometric Structures on Complex Manifolds. Delve into the intricate world of manifolds with special geometric structures, examining their connections to complex and algebraic geometry, global analysis, theoretical physics, and symplectic geometry. Gain insights into topics such as Monge-Ampère equations, special holonomy, 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. Organized by a distinguished committee of mathematicians from various institutions, this talk is part of a broader event held at IMPA in Rio de Janeiro, showcasing cutting-edge research in differential geometry and its applications.