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Introduction of Surgical Theory


Academic Report

Title: Introduction of Surgical Theory

Reporter: HU Hailiang (Hong Kong University of Science and Technology)

Time: May 16, 2019 (Thursday) PM 16:15-17:00

Location: A1101# room, Innovation Park Building

Contact: Prof. LEI Fengchun (tel:84708360)

Abstract: We briefly review the development of surgical theory, and then discuss its utility in constructing new geometric objects. In particular, using surgical theory, we can study whether Submanifolds (and their superstructures) can be replaced by "similar" manifolds (or structures). Replaceability can be used to construct new structures on manifolds, while irreplaceability reveals the relative rigidity of manifold pairs.

The brief introduction to the reporter: Hu Hailiang is currently a visiting scholar at Hong Kong University of Science and Technology, majoring in geometric topology.