Please note the time.

The seminar is virtual via Zoom. If you are interested in participating, please contact Stephan Stadler (stadler

A closed $n$-manifold is \emph{scalable} if it has

asymptotically maximally efficient self-maps: $O(d^{1/n})$-Lipschitz maps

of degree $d$, for infinitely many $d$. For example, spheres and tori are

scalable, but surfaces of higher genus are not. Simply connected manifolds

that don't have a cohomological obstruction to scalability are called

\emph{formal}, an idea introduced by Sullivan. In joint work with

Berdnikov, we show that certain formal spaces are nevertheless not

scalable, and give several equivalent conditions for scalability. For just

one example, $(CP 2)^{\#3}$ is scalable but

$(CP 2)^{\#4}$ is not.

© MPI f. Mathematik, Bonn | Impressum & Datenschutz |