Algebra/topology seminar

Speaker: Greg Arone

Title:The Whitehead conjecture and it BU analogue

Abstract: The Whitehead conjecture predicted the collapse of the homotopy spectral sequence of the symmetric powers filtration. It was proved by Nick Kuhn in 1982, and then one more time in 2013. Around 2007, Kathryn Lesh and I formulated an analogous conjecture involving a filtration of complex K-theory. I will outline a program for giving a new proof of Kuhn’s theorem and of the complex K-theory analogue. Joint work with Kathryn Lesh.