Explore the intricate world of homotopy groups of spheres in this mathematics colloquium talk by Zhouli Xu from the University of California, San Diego. Delve into the complex problem of determining these abelian groups formed by based continuous maps between spheres, up to continuous deformations. Discover how the structures of homotopy groups of spheres are intricately connected to various important topics in topology, including the Hopf invariant problem, the Kervaire invariant problem, and the number of smooth structures on a given sphere. Gain insights into this challenging area of topology and its far-reaching implications in mathematical research during this 56-minute presentation at Stony Brook University's Mathematics Department Colloquium.
Overview
Syllabus
Homotopy Groups of Spheres - Zhouli Xu
Taught by
Stony Brook Mathematics
Related Courses
-
Homotopy Groups of Spheres - Computation Methods and Recent Progress
-
Stable Homotopy Groups of Spheres and Motivic Homotopy Theory
-
Computing Differentials in the Adams Spectral Sequence and the Last Kervaire Invariant Problem
-
Stable Homotopy Groups, Higher Algebra, and the Telescope Conjecture
-
Persistent Homotopy Groups of Metric Spaces
-
Spherical T-Duality Meets Exotic Spheres and Homotopy Hopf Manifolds
