Room P4.35, Mathematics Building

Marta Batoréo, Universidade Federal do Espírito Santo
On periodic points of symplectomorphisms on closed manifolds

In this talk, we will discuss symplectomorphisms on closed manifolds with periodic orbits. We will present some results on the existence of (infinitely many) periodic orbits of certain symplectomorphisms on closed manifolds. Moreover, we will give a construction of a symplectic flow on a closed surface of genus $g$ greater than $1$ with exactly $2g-2$ fixed points and no other periodic orbits.