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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 Vertex Algebra Courses Differential Geometry Courses Lie Groups Courses Monge-Ampère Equation Courses Special Holonomy Courses

Course Description

Overview

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Explore a 56-minute lecture on vertex algebras derived from the Hull Strominger system, delivered by Mario Garcia Fernandez from UAM. Delve into the intricate world of manifolds with special geometric structures, examining their connections to Lie group actions from Berger's list. Investigate the intersections of differential geometry with complex and algebraic geometry, global analysis, theoretical physics, and symplectic geometry. Discover 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. Gain insights from this talk, part of a broader conference organized by esteemed mathematicians at the Instituto de Matemática Pura e Aplicada in Rio de Janeiro.

Syllabus

Special Holonomy and Geometric Structures on Complex Manifolds - Mario Garcia Fernandez (UAM)


Taught by

Instituto de Matemática Pura e Aplicada

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