Between Geometry and Relativity - Summer School

Explore the mathematical foundations connecting differential geometry and general relativity through this comprehensive summer school program from the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the construction of initial data for Einstein equations with Justin Corvino's four-part lecture series, examining the mathematical techniques required to specify appropriate starting conditions for relativistic spacetimes. Master positive energy theorems through Lan-Hsuan Huang's two-part presentation, understanding fundamental results about the energy content of gravitational systems and their implications for the stability of spacetime. Investigate gravitational wave physics with Marie-Anne Bizouard's two-part series on wave generation and detection, connecting theoretical predictions with experimental observations from facilities like LIGO. Study the intricate relationship between topology and general relativity through Greg Galloway's four-part lecture sequence, exploring how the geometric structure of spacetime constrains physical phenomena and vice versa. Examine the dynamical aspects of Einstein's field equations with David Fajman's four-part series on the evolution and behavior of relativistic systems over time. Gain insights into advanced topics at the intersection of pure mathematics and theoretical physics, suitable for graduate students and researchers working in differential geometry, mathematical relativity, or gravitational physics.