Seminar on A1-topology, motives and K-theory

Steenrod’s problem on realization of cycles. Old and new. (in Russian)

by Vasily Rozhdestvensky (NRU HSE)

Europe/Moscow
818-1526-4739 (Zoom)

818-1526-4739

Zoom

Description

We will discuss the classical N. Steenrod’s problem on realization of (integral singular) homology classes by continuous images of smooth manifolds. Apart from discussing classical results, I will present some of my own. Namely: the construction in each degree n of homology class x such that the minimal multiplicity with which it is realizable in the above sense is equal to the maximal odd divisor of [(n-1)/2]! and proving that in all dimensions less or equal to 23 this estimate is exact.

The talk will be in Russian.