## EVENT DETAILS AND ABSTRACT

**Dynamical Systems Seminar**
**Title:** Some subgroups of the group of analytic symplectic diffeomorphisms of $S^2$ which are virtually abelian

**Speaker:** John Franks

**Speaker Info:** Northwestern

**Brief Description:**

**Special Note**:

**Abstract:**

We show that if $M$ is a compact oriented surface of genus $0$ and $G$
is a subgroup of $\Symp^\omega_\mu(M)$ which has an infinite normal
solvable subgroup, then $G$ is virtually abelian. In particular
the centralizer $\Cent(f)$ of an infinite order $f \in \Symp^\omega_\mu(M)$
is virtually abelian. Another immediate corollary is that if $G$
is a solvable subgroup of $\Symp^\omega_\mu(M)$ then $G$ is virtually
abelian.

**Date:** Tuesday, May 15, 2012

**Time:** 3:00pm

**Where:** Lunt 105

**Contact Person:** Prof. Bryna Kra

**Contact email:** kra@math.northwestern.edu

**Contact Phone:** 847-491-5567

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