# Topology Seminar

The C_2 effective spectral sequence and the homotopy of ko_{C_2}

Hana Jia Kong, University of Chicago

4:00 PM - 5:00 PM

Hylan 1106A

By work of Voevodsky, the slice filtration in motivic homotopy theory provides a powerful tool for computing homotopy groups of motivic spectra. In this talk, I will describe the motivic slice filtration and the effective slice spectral sequence it produces. Then I will discuss how the motivic effective slice spectral sequence gives rise to a spectral sequence in C_2 equivariant homotopy theory. One of the main applications is computing the homotopy groups of ko_{C_2}, the connective C_2 equivariant K theory. This gives a reproof of work by Guillou-Hill-Isaksen-Ravenel that computes homotopy of ko_{C_2} using equivariant Adams spectral sequence.

Event contact: vlorman at ur dot rochester dot edu

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