孔嘉博士, Institute for Advanced Study, Princeton, USA

Understanding the stable homotopy groups of the sphere is one of the most important questions in classical stable homotopy theory. Its answer relates to questions in other fields. A relatively new method to attack this question is via the motivic approach.The motivic stable homotopy theory has an algebro-geometric root. It also has close connections to number theory and classical stable homotopy theory. As a stasble infinity-category, the motivic stable homotopy category has good properties and allows spectral sequence calculations. These spectral sequence calculations in the motivic category compare analogously to the classical ones but carry more information.