Homogenization in Symplectic Topology
主 题: Homogenization in Symplectic Topology
报告人: Prof. Claude Viterbo (Ecole Polytechnique, France)
时 间: 2009-03-20 下午 2:00 - 3:30
地 点: 理科一号楼 1114(数学所活动)
We shall explain some of the relevant questions in Symplectic topology, and in particular the problem of $C^0$ properties of symplectic maps. We will finish by explain how some "strange" topologies on the space of symplectic maps give informations on some homogenization problems for Hamiltonian flows, that is, given a Hamiltonian defined on $T^n \times R^n$, the sequence $k \to H(k\cdot q, p)$ "converges" as $k$ goes to infinity to an "effective" Hamiltonain $\overline H (p)$.