Mathematical Sciences: The Geometry of Ziglin's             Non-integrability Theorem
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Alberto Baider and Richard Churchill will continue their                   research related to the dynamics of Hamiltonian systems. These                  are systems of differential equations of physical significance.                 This will involve the translation of much analysis into geometry                and promises to have significant consequences in algebraic                      geometry.                                                                            They intend to put Ziglin's non-integrability theorem in a                 geometric setting. In particular this project will relate the                   monodromy of the variational equations to the monodromy on the                  natural bundle of the varieties arising from the existence of                   certain integrals.
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{'Code': '126500', 'Text': 'GEOMETRIC ANALYSIS'}
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