turkmath.org

In this talk, I will discuss the Equivariant generalization of the James spectral sequence. The James spectral sequence, which computes generalized homology groups of Thom Spectra, is a generalization of the classical Atiyah-Hirzebruch spectral sequence. It is a strong spectral sequence and has nice geometric applications. The original construction of the James Spectral sequence is due to Peter Teichner, in his Ph.D. thesis. He used Atiyah-Hirzebruch-Serre spectral sequence in the original construction. We give a new construction of the James spectral sequence by using Bousfield-Kan spectral sequence. Our construction is also applicable to the Equivariant world, so that we get the equivariant generalization of the James spectral sequence.