Geometrical Aspects of Mathematical Relativity
PhD School at the Faculty of SCIENCE at University of Copenhagen
The aim of this masterclass is to provide participants with a comprehensive understanding of some of the fundamental concepts and advanced developments in the field of mathematical relativity. Through a series of lectures, participants will get an introduction to modern mathematical research topics on Einstein’s theory of general relativity and explore more recent developments within the field. Topics to be covered will include singularity theorems (Hawking, Penrose, and beyond), mass, and scalar curvature.
Formel requirements
Bachelors in mathematics.
Learning outcome
Knowledge:
• Learn about the Lorentzian geometrical approach to general relativity with a focus on causal theory, singularity theorems, and topology of black holes.
• Learn about the connections between scalar curvature and mass in asymptotically flat spacetimes.
• Get acquainted with modern developments in the field.
Skills:
• Learn about some of modern proof techniques in the lectures.
Competences:
• Understanding foundational principles so that they can actively engage in contemporary research.
Literature
Information will follow.
Target group
Aimed at PhD students with a background in differential geometry and an interest in Einstein’s theory of general relativity.
Teaching and learning methods
Lectures and discussion.
Lecturers
Guest lecturers:
Gregory Galloway, University of Miami
Lan-Hsuan Huang, University of Connecticut
Sven Hirsch, Columbia University
Remarks
> Please register here before 9 June 2025 <
Registration deadline for those asking for support: 9 March 2025.