Sino-Russian Student Mathematical Seminar November 21, 2025 12:00–13:00, Moscow time zone; Moscow, Steklov Mathematical Institute of RAS, Room 104 (Gubkina, 8); Novosibirsk, Sobolev Institute of Mathematics of SB RAS, mini conference hall (in the additional building on Koptyug avenue, 4/1)
The Steenrod problem on realization of cycles: old and new
Abstract:
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.
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