Commuting Pairs of Generalized Structures, Para-Hyper-Hermitian and Born Geometry
Offered By: IMSA via YouTube
Course Description
Overview
Explore a 52-minute lecture on commuting pairs of generalized structures, para-hyper-Hermitian geometry, and Born geometry presented by Ruxandra Moraru from the University of Waterloo. Delve into the concept of generalized structures on smooth manifolds, defined as endomorphisms of the direct sum of tangent and cotangent bundles that square to plus or minus the identity. Examine pairs of generalized structures whose product forms a generalized metric, including generalized Kähler, para-Kähler, chiral, and anti-Kähler structures. Investigate the integrability of these structures and discover how para-hyper-Hermitian and Born geometry fit within this generalized framework.
Syllabus
Ruxandra Moraru: Commuting pairs of generalized structures, para-hyper-Hermitian and Born geometry
Taught by
IMSA
Related Courses
Nonlinear Dynamics 1: Geometry of ChaosGeorgia Institute of Technology via Independent Geometría diferencial y Mecánica: una introducción
Universidad de La Laguna via Miríadax Geometría diferencial y Mecánica: una introducción
Universidad de La Laguna via Miríadax Differential Geometry
Math at Andrews via YouTube On Gradient-Based Optimization - Accelerated, Distributed, Asynchronous and Stochastic
Simons Institute via YouTube