# Topology Seminar

## Rank 2 mod 3 H-spaces associated with ImJ.

John Harper

Wednesday, March 21st, 2018
3:40 PM - 4:40 PM
Hylan 1106A

For any element in an odd stem on a sphere of odd dimension, there is a space B realized as the total space of a (non-split) spherical fibration such that its localization at primes $p \geq 5$ is an H-space, but at the prime 3 there are obstructions. The new result is that the space B built from any element in Toda’s 3-primary alpha sequence on the 3-sphere is a 3-local H-space.

There will be a pretalk at 2 in 1106A concerning the finite homotopy types that can support an H-structure.

Event contact: evidaurr at ur dot rochester dot edu