中科院数学与系统科学研究院
数学研究所
学术报告会
报告人: 古 星 博士 (墨尔本大学)
题 目:the topological period-index problem over 8-complexes
时 间:2017.07.04(星期二),14:30-15:30
地 点:数学院南楼N913室
摘 要:We study the Postnikov tower of the classifying space of a compact Lie group P(n;mn), which gives obstructions to lifting a topological Brauer class of period n to a PU_mn-torsor, where the base space is a CW complex of dimension 8. Combined with the study of a twisted version of Atiyah-Hirzebruch spectral sequence, this solves the topological period-index problem for CW complexes of dimension 8.