Postdoctoral Math Seminar

I will present the joint work with Katie Mann on the following classification theorem: For any action of $\Homeo_0(M)$ on a finite-dimensional CW complex, every orbit is homeomorphic to a cover of a configuration space $\Conf_n(M)$. If $r \neq \dim(M)+1$, then for any continuous action of $\Diff^r_0(M)$ on a finite-dimensional CW complex, every orbit is homeomorphic to a cover of the quotient of the $r$-jet bundle over $\Conf_n(M)$ by a linear group. I will also present applications and open problems.