Teichmuller space of symplectic structures
主 题: Teichmuller space of symplectic structures
报告人: Professor Misha Verbitsky (Higher School of Economics and Moscow Independent University)
时 间: 2016-12-23 15:00-16:00
地 点: 理科一号楼 1114(数学所活动）
The Teichmuller space of geometric structures of certain type is the quotient of the set of all geometric structures of this type by the group of isotopies, that is, the connected component of the diffeomorphism group. The set of equivalence classes of the geometric structures is the quotient of the Teichmuller space by the mapping group action. Teichmuller space of symplectic structures was first considered by Moser, who proved that it is a smooth manifold. I would describe the Teichmuller space of symplectic structures in the few examples when it is understood (torus, K3 surface, hyperkahler manifold) and explain how the ergodic properties of the mapping group action can be used to obtain information about symplectic geometry.