# Mathematics Topology Seminar - Hana Jia Kong

This event is in the past.

**Date:**November 19, 2019

**Time:**2:00 p.m. - 3:00 p.m.

**Category:**Seminar

Speaker: **Hana Jia Kong, University of Chicago**

Title: **The C_2 equivariant effective slice spectral sequence and the homotopy of ko_{C_2}**

Abstract: **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 work in progress on 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.**