Caltech Home > PMA Home > Master Calendar > Postdoctoral Math Seminar
Tuesday, February 12, 2019
6:00 PM - 7:00 PM
Linde Hall 387

# Postdoctoral Math Seminar

A structure theorem for the orbits of $\Homeo_0(M)$
Lei Chen, Department of Mathematics, Caltech,

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.