Mathematics - Topology Seminar Series: Robert Bruner - Symmetric A-actions on A(2)
This event is in the past.
When:
September 17, 2024
2 p.m. to 3 p.m.
2 p.m. to 3 p.m.
Where:
Event category:
Seminar
In-person
Speaker: Robert Bruner, WSU
Title: Symmetric A-actions on A(2)
Abstract: We describe the variety of left actions of the mod 2 Steenrod algebra on its subalgebra A(2) that extend the action of A(2) on itself and preserve both the short exact sequence
0 --> Image(Q_2) ---> A(2) ---> A(2)/Q_2(A(2)) ---> 0
and the isomorphism between the image of Q_2 and the quotient by this image.
We call such actions {em symmetric}. These arise as the cohomology of v_2 self maps
Sigma^7 Z ---> Z
which have been used to construct spectra with cohomology A(2).