Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Special Holonomy and Geometric Structures on Complex Manifolds

Instituto de Matemática Pura e Aplicada via YouTube

Overview

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

Reviews

Start your review of Special Holonomy and Geometric Structures on Complex Manifolds

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.