Day 1:
Presentation 1 (time: 9:00 - 9:30): Introduction to General Relativity, overview of what's it all about; quick overview of Spacetime, Einstein's field equations, what it roughly means and what it implies.
Break (9:30 - 9:45)
Presentation 2 (time: 9:45 - 10:45): Introduction to vector spaces, dual spaces, coordinate transformations and tensor product spaces.
Discussion/Questions (10:45 - 11:00)
Break (11:00 - 11:15)
Presentation 3 (time: 11:15 - 12:15): Least action principle, Lagrangians and the formalism
Discussion/Questions (12:15 - 12:30)
Lunch break (12:30 - 1:15) (we gotta see if we can get funding for pizza)
Presentation 4 (time: 1:15 - 2:45): Einstein notation, inner products and the metric tensor, covariance and contravariance, tensor transformations, index gymnastics
Discussion/Questions (2:45 - 3:00)
Presentation 5 (time: 03:00 - 4:30): Special Relativity, Spacetime, 4-vectors and Minkowski space
Discussion/Questions (4:30 - 4:45):
Break (4:45 - 5:00)
Presentation 6 (time: 05:00 - 6:15): Manifolds, curves, tangent and cotangent spaces
Discussion/Questions (6:15 - 6:30)
Day 2:
Presentation 1 (time: 9:00 - 10:15): Tensor fields, metric tensor fields and their transformations
Discussion/Questions + break (10:15 - 10:30)
Presentation 2 (time: 10:30 - 12:00): Parallel transport, covariant derivative, the connection, lie dragging and the lie derivative
Discussion/Questions (12:00 - 12:15)
Lunch Break (12:15 - 1:00)
Presentation 3 (time: 1:00 - 2:30): Equivalence principle and the geodesic equation
Discussion/Questions + Break (2:30 - 2:45)
Presentation 4 (time: 2:45 - 4:15): ??? (Einstein field equations and one of the solutions for the metric?)
Discussion/Questions + Break (4:15 - 4:30)
Presentation 5 (time 4:45 - 6:15): ??? (Einstein field equations solution continued and gravitational waves?)
Discussion/Questions