Lorentzian Geometry - T. Drumm
Offered By: ICTP Mathematics via YouTube
Course Description
Overview
Explore the foundations of Lorentzian geometry in this comprehensive lecture, covering essential topics from basic definitions and vector concepts to advanced subjects like Margulis space-times and crooked planes. Delve into models of hyperbolic spaces, isometries, and three-dimensional geometries while gaining insights into hyperbolic affine transformations and proper actions. Examine the Margulis Opposite Sign Lemma and its applications, and investigate the properties of crooked domains. Gain a thorough understanding of key results in this field of mathematics through clear explanations and in-depth analysis.
Syllabus
Intro
Basic Definitions
Vectors
Models of Hyperbolic Spaces
Isometries
Three dimensions
Hyperbolic affine transformations
Proper actions
Margulis Opposite Sign Lemma
Margulis space-times
Crooked Planes
Crooked domains
Results
Taught by
ICTP Mathematics
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