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SEMINARS
Computations in Stable and Unstable Homotopy Groups
时间  Datetime
2018-04-12 16:00 — 17:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Guozhen Wang(王国祯)
单位  Affiliation
Shanghai Center for Mathematical Sciences
邀请人  Host
Youlin Li
报告摘要  Abstract

Understanding the homotopy groups of spheres is a major goal in homotopy theory. They have many applications such as the obstructions in surgery and the classification of differential structures on spheres. Currently, we only have a very limited knowledge of the structure of these groups. In this talk, I will survey the classical and new methods in the computations of stable and unstable homotopy groups, such as the Adams spectral sequence, the motivic methods and chromatic methods. These computations also show important structures in homotopy theory, such as the periodicity structure in stable and unstable homotopy groups, the finite exponent phenomenon in unstable homotopy.