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Special Holonomy and Geometric Structures on Complex Manifolds

Offered By: Instituto de Matemática Pura e Aplicada via YouTube

Tags

Complex Manifolds Courses Differential Geometry Courses Lie Groups Courses Algebraic Geometry Courses Monge-Ampère Equation Courses Special Holonomy Courses

Course Description

Overview

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Explore the intricate world of special holonomy and geometric structures on complex manifolds in this 51-minute lecture by Adrián Andrada from Córdoba. Delve into the canonical bundle of complex manifolds underlying compact hypercomplex manifolds, part of a broader conference on manifolds with special geometric structures. Examine the connections between differential geometry, complex and algebraic geometry, global analysis, theoretical physics, and symplectic geometry. Discover topics such as Monge-Ampère 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.

Syllabus

Special Holonomy and Geometric Structures on Complex Manifolds - Adrián Andrada (Córdoba)


Taught by

Instituto de Matemática Pura e Aplicada

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