Онлайн-семинар: Фёдор Манин
Семинар состоится 20 августа 2020 г.
На семинаре выступит Фёдор Манин с докладом Безмасштабные пространства
Аннотация: 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.