Online seminar: Fedor Manin

Fedor Manin will give a talk Scalable spaces

Abstract: Formal spaces are a (homotopy-theoretic) class of simply connected spaces defined by Sullivan, one characterization of which is that they have many topologically well-behaved self-maps.  Probably all the simply connected manifolds you can name are formal.  We (Sasha Berdnikov and I) found that sometimes you can force the self-maps to also behave well geometrically (think of them as scalings), and sometimes you can't (and this is also a purely homotopical property).  This has various implications in quantitative homotopy theory, a program emphasized by Gromov which I will explain.