- Engineering
- Industrial Engineering
- Industrial Processes
- Additive Manufacturing
- Topology
- Simplicial Complexes
- Engineering
- Industrial Engineering
- Industrial Processes
- Additive Manufacturing
- Differential Geometry
- Scalar Curvature
- Engineering
- Industrial Engineering
- Industrial Processes
- Additive Manufacturing
- Isoperimetric Inequalities
Yevgeny Liokumovich - Urysohn Width, Isoperimetric Inequalities and Scalar Curvature
Applied Algebraic Topology Network via YouTube
Google, IBM & Meta Certificates — 40% Off for a Limited Time
AI Engineer - Learn how to integrate AI into software applications
Overview
Google, IBM & Meta Certificates — All 10,000+ Courses at 40% Off
One annual plan covers every course and certificate on Coursera. 40% off for a limited time.
Get Full Access
Explore a mathematical lecture on Urysohn width, isoperimetric inequalities, and scalar curvature. Delve into the proof of a theorem stating the existence of a positive constant c(n) with specific properties related to metric spaces and continuous maps. Examine generalizations of this result and its connections to isoperimetric inequalities and positive scalar curvature in Riemannian geometry. Learn about the collaborative work of Liokumovich, Lishak, Nabutovsky, and Rotman in this 49-minute presentation from the Applied Algebraic Topology Network.
Syllabus
Yevgeny Liokumovich (9/10/21): Urysohn width, isoperimetric inequalities and scalar curvature
Taught by
Applied Algebraic Topology Network