Mathematical Sciences: Studies in Symplectic & Lorentzian   Geometries
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Paul Ehrlich, Gerard Emch and Paul Robinson will work on                   problems in differential geometry and quantum theory. The                       questions to be addressed include geodesic incompleteness of                    Lorentzian manifolds, symplectic geometry of geodesics and                      geometric quantization. These problems are of interest in both                  mathematics and physics. They are fundamental to the mathematical               aspects of relativity and the relationships between classical                   mechanics and quantum theory.                                                       Ehrlich's work focusses primarily on Lorentzian geometry and                will build on recent advances made towards establishing the                     splitting theorem. This is related to rigidity phenomena in the                 singularity theory of general relativity. Emch and Robinson will                investigate spinors in both the symplectic and the orthogonal                   contexts. These arise naturally in the attempt to geometrize the                passage from classical mechanics to quantum theory where the                    behavior of symmetries plays an important role.
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{'Code': '126500', 'Text': 'GEOMETRIC ANALYSIS'}
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