| October 11: |
Introduction to inverse problems: hearing the shape of a drum The boundary rigidity problem |
|---|---|
| October 12: | The X-ray transform on symmetric tensors |
| October 18: | Kernel of the X-ray transform and boundary rigidity by deformation |
| October 19: | Determination of the boundary jet of a metric from the boundary distance |
| October 25: |
The lens rigidity problem Symplectic and Riemannian geometry of tangent bundles |
| October 26: | More symplectic and Riemannian geometry of tangent bundles |
| November 2: | The Santalò formula |
| November 8: | Boundary rigidity within a conformal class of simple Riemannian metrics |
| November 9: |
The unit tangent bundle of Riemannian surfaces Commutator relations |
| November 22: | Pestov identity |
| November 23: | Injectivity of the X-ray transform on 0-tensors |
| November 29: | Injectivity of the X-ray transform on 1-forms |
| November 30: | The Laplace-Beltrami operator |
| December 6: |
The Dirichlet-to-Neumann map The Hilbert transform Pestov-Uhlmann identity |
| December 7: | The dual X-ray transform |
| December 13: | Proof of Pestov-Uhlmann theorem |