Special Holonomy and Geometric Structures on Complex Manifolds

Explore a 58-minute lecture on 3-(α, δ)-Sasaki Manifolds and Strongly Positive Curvature, delivered by Ilka Agricola from Marburg as part of the "Special Holonomy and Geometric Structures on Complex Manifolds" series at IMPA. Delve into the intricate world of manifolds with special geometric structures, examining their connections to Lie group actions and Berger's list. Discover the interdisciplinary nature of these special manifolds, bridging differential geometry with 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. Learn from an esteemed organizing committee featuring experts from various institutions, and engage with cutting-edge research in this field of mathematics.