Title：Stable motivic homotopy theory over real and complex fields
Speaker：Guozhen Wang （复旦大学）
Time：2018年10月12日（周五） 下午 16:00-17:30
Abstract：We will give an introduction to the general construction of the stable motivic homotopy category and the formulation of Grothendieck's six operations. In particular, there are a bunch of functors between the motives over the real number fields and those over the complex fields. This gives new methods to understand the classical homotopy categories and equivariant homotopy category for the group $Z/2Z$. I will show how these techniques can lead to new methods for the computations of the homotopy groups of the equivariant and non-equivariant sphere spectrum.