03 June 2020, 10:30 - (UTC+3)
Title : More stable stems
Speaker : Guozhen Wang (Shanghai Center for Mathematical Sciences, Fudan University)
Organization : Moscow-Beijing seminar
Abstract: Computation of stable homotopy groups of spheres has been a long standing problem in algebraic topology. Many questions can be reduced to computations of stable homotopy groups, such as the classification of manifolds up to various notions of cobordism, and the classification of smooth structures. Using motivic methods, we made breakthroughs on the stemwise computations of the stable homotopy groups of spheres, extending the knowledge from the range around 60 to the range up to 90. I will give an account of our new methods and show the resulting charts of the classical and motivic Adams spectral sequences.
About the speaker: Prof. Guozhen Wang received his bachelor's degree and master's degree from Peking University, and his PhD from MIT. He and his collaborators published a paper on Annals of Mathematics in 2017, which solved the problems of computation of 61-stem in the stable homotopy groups of spheres and smooth structures of odd dimensional spheres.
Meeting ID: 831 5020 0580