Abstract: We discuss how the geometry of solvmanifolds is interwoven with the underlying algebraic properties of the Lie group. As an example, we demonstrate a new, algebraic result for Iwasawa subgroups that comes from the left-invariant geometry of the Lie group. Namely, if $\mathfrak g$ is semi-simple of non-compact type with Iwasawa decomposition $\mathfrak k + \mathfrak a + \mathfrak n$, then the maximal compact of $Der(\mathfrak a + \mathfrak n)$ is the centralizer of $\mathfrak a$ in $\mathfrak k$. This example is motivated by questions of maximal symmetry for solvmanifolds - these questions will be discussed as well.
To add/edit talks, please log in on the department web page, then return to Announce. Alternatively if you know the Announce
username/password, click the link below: