拓扑研讨班：Borel conjecture for the torus and the splitting of surgery sets

中科院数学与系统科学研究院

数学研究所

学术报告

拓扑研讨班

报告人：罗月桐（北京大学）   

题  目：Borel conjecture for the torus and the splitting of surgery sets

时  间：2022.11.16（周四）14:30-16:30

地  点： 数学院南楼N533

摘  要：The Borel conjecture considers the obstruction from homotopy equivalence to homeomorphism for aspherical manifolds. The torus is the first computed case of Borel conjecture with the idea of splitting used in the computation. In this talk I will review the basic results of surgery theory and prove the Borel conjecture for torus following Shanneson and Hsiang’s calculation. Moreover, the further Farrell’s splitting for structure set gives us further tools in the proof of more complicated case of Borel conjecture.