Leicester Pure Mathematics Seminar, 27/11/2008
4:00pm, MAB 119
Olga Lukina (University of Leicester)
In the talk we will be interested in symplectic torus bundles that occur in integrable Hamiltonian systems, which we call Lagrangian bundles. We review the theory of obstructions to triviality, which was developed by H. Duistermaat in 1980, in particular, monodromy, as well as the ensuing classification problems which involve the Chern and the Lagrange class. We elucidate some aspects of the theory. In particular, we stress the role of the integer affine structure, and explain in detail the symplectic classification of Lagrangian bundles with fixed integer affine structure.