On the Deleted Squares of Lens Spaces
Offered By: IMSA via YouTube
Course Description
Overview
Explore a 58-minute lecture on the topology of configuration spaces in lens spaces. Delve into the concept of deleted squares of manifolds and their homotopy properties. Learn about the groundbreaking examples by Longoni and Salvatore that demonstrate how homotopy equivalent lens spaces can have non-homotopy equivalent deleted squares. Investigate the relationship between homeomorphic 3-dimensional lens spaces and the homotopy equivalence of their deleted squares. Discover the advanced mathematical tools employed in this study, including Cheeger-Simons differential characters and Massey products of universal covers. Gain insights from the joint work of Nikolai Saveliev and Kyle Evans-Lee as they explore this fascinating area of algebraic topology.
Syllabus
On the Deleted Squares of Lens Spaces
Taught by
IMSA
Related Courses
Introduction to Algebraic Topology (Part-I)Indian Institute of Technology Bombay via Swayam Introduction to Algebraic Topology (Part-II)
NPTEL via Swayam Intro to the Fundamental Group - Algebraic Topology with Tom Rocks Maths
Dr Trefor Bazett via YouTube Neural Sense Relations and Consciousness - A Diagrammatic Approach
Models of Consciousness Conferences via YouTube Classification of 2-Manifolds and Euler Characteristic - Differential Geometry
Insights into Mathematics via YouTube