Sino-Russian Student Mathematical Seminar 21 ноября 2025 г. 12:00–13:00, указано московское время; г. Москва, МИАН, комн. 104 (ул. Губкина, 8); г. Новосибирск, Институт математики им. С.Л.Соболева СО РАН, малый конференц-зал (доп. здание, пр. ак. Коптюга, 4/1)
The Steenrod problem on realization of cycles: old and new
Аннотация:
Singular homology groups form a basic invariant of a space, which allows
to study its topological properties. Although they can be defined
axiomatically, it is also useful (and quite agreeable) to think about
them geometrically. In the late 1940s Steenrod asked whether a homology
class can be represented by a continuous image of a fundamental class of
a manifold. In the talk I will give an overview of results on this
problem, presenting both classical and new ones.