Speaker: Zhihong Xia（Northwestern University）
Time: Oct 18, 2023, 15:00-16:00
Location: M1001, College of Science Building
Abstract
Consider a symplectic diffeomorphism on a compact symplectic manifold. There are two notable invariants, the area and volume flux and mean rotation yector. We show that the volume flux (which is defined as a cohomology element) is exactly the Poincare dual of the rotation vector (a homology element). We also establish the relationships between the area flux and the volume flux, and show that a symplectic diffeomorphism is Hamiltonian if and only if the rotation yector is zero.
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