[Binghamton Geometry/Topology Seminar] Michael Cohen (North Dakota State University)

[jwilliams at math.binghamton.edu]

This is October 5, not Sept. 14.
J

> Title: Polishability of some groups of interval and circle diffeomorphisms
>
> Abstract:
> Consider a group G consisting of all C^k diffeomorphisms of the circle
> whose derivatives satisfy a regularity condition arising from classical
> real analysis: a Lipschitz/Hoelder condition; absolute continuity; or
> bounded total variation. Is it possible to assign a separable complete
> metric topology to G, in such a way that the group operations become
> continuous? If so, G is called Polishable. I'll discuss this Polishability
> problem in the cases mentioned above, where the answer turns out to vary
> dramatically depending on the choice of analytic condition. In particular,
> I'll exhibit an infinite class of what appear to be new Polish topological
> groups.
>
> Thursday, Sept. 14, 2:50pm, WH-100E
>