杰出青年数学家系列讲座:徐宙利 Stable homotopy groups of spheres and motivic homotopy theory

 


时间:10月17日,星期二,15:00-16:00


地点 海纳苑2幢, 210室



报告内容:The computation of stable homotopy groups of spheres is one the most fundamental problems in topology. It has connections to many topics in topology, such as cobordism theory and the classification of smooth structures on spheres. 


In this talk, we will survey some classical methods, explain their difficulty via Mahowald’s Uncertainty Principles, and describe a new technique using motivic homotopy theory. This new technique yields streamlined computations through previously known range, and gives new computations through dimension 90.