中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

华罗庚青年数学论坛

综合报告

报告人： 孔嘉  博士（Institute for Advanced Study, Princeton, USA）

题  目：Calculations in the motivic stable homotopy category motivic

时  间：2022.04.29（星期五），09:00-10:00

地  点：数学院南楼N204室  腾讯会议：138-813-370

摘  要：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.