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古 星 博士:Topological Brauer Groups, Postnikov Systems,And Twisted K-Theory

本站小编 Free考研考试/2021-12-26


Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 古 星 博士，Max Planck Institute for Mathematics
Inviter:
Title:
 Topological Brauer Groups, Postnikov Systems,And Twisted K-Theory
Time & Venue:
 2021.05.09 09:30-11:30 南楼N902室
Abstract:
 腾讯会议：815 999 228
This talk is an attempt to give a comprehensive account on the topological period-index problem (TPIP).I will explain the relation between TPIP and the period-index problem in algebraic geometry, especially over the base field C, through the works of Antieau-Williams and Crowley-Grant on TPIP over 6-dimensional finite CW-complexes and 6-dimensional spinC closed manifolds.The main tool for studying TPIP over finite CW-complexes are the Post-nikov systems of the classifying spaces of certain compact Lie groups, which is another major topic of this talk. Finally I will introduce the twisted topological K-theory and the associated twisted Atiyah-Hirzebruch spectral sequence, in which the TPIP fits nicely.

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