题目：SPECTRAL FLOW FORMULA

报告人：Alessandro Portaluri教授是变分法中的拓扑和辛几何方法领域国际知名的专家，在著名期刊例如ARMA，Advance Math, JDE, CVPDE 等发表了50多篇论文，目前是都灵大学的正教授以及Journal Of Nonlinear Mathematical Physics的编委。

摘要：We consider a Hamiltonian boundary value problem with Lagrangian boundary conditions and we associate to a distinguished solution a Maslov index of a Lagrangian path and a relative Morse index through the spectral flow of a closed path of selfadjoint Fredholm operators. Then we show that crossing instants for this operators path are in 1-1 correspondence with crossing instants for the Lagrangian path. Then we prove that the crossing forms that locally define the spectral flow and the Maslov index both coincide. Finally, by using these preliminary results we provide a complete proof of a general spectral flow formula in this setting.

邀请人：胡锡俊 吴立

时间：3月14日（周四）下午14：00-17：00

地点：知新楼B座1032