Abstract: The stable homotopy groups of spheres play a fundamental role in algebraic topology. In recent years, Isaksen-Wang-Xu made a significant breakthrough in the calculation of the 2-primary components of these groups. The key observation is that, by utilizing motivic homotopy theory, computable algebraic Novikov differentials can be employed to generate certain challenging-to-calculate Adams differentials.
In this talk, we will discuss the odd-primary computations that parallel these findings. We will investigate how the algebraic Novikov differentials can aid in the computation of secondary and higher Adams differentials. This is joint work with Xiangjun Wang and Yaxing Wang.
