Existence Theory of Minimal Hypersurfaces - Fernando Marquez
Institute for Advanced Study via YouTube
Build the Finance Skills That Lead to Promotions — Not Just Certificates
Learn AI, Data Science & Business — Earn Certificates That Get You Hired
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 the existence theory of minimal hypersurfaces in this 59-minute Members' Seminar presented by Fernando Marquez from Princeton University at the Institute for Advanced Study. Delve into key concepts such as the minimax theorem, space of cycles, and volume spectrum. Examine the minutes technique, boundary map theorem, and the implications of positive curvature and Ricci curvature. Investigate the fundamental college class, generic metrics, and general metrics. Gain insights into the topology of minimal hypersurfaces and engage with thought-provoking questions in this comprehensive lecture on advanced mathematical concepts.
Syllabus
Introduction
The minutes technique
Minimax theorem
Remarks
Space of cycles
Topology
Boundary map
Theorem
Positive curvature
Fundamental college class
Minimax
Volume spectrum
Ricci curvature
Generic metrics
Questions
General metrics
Taught by
Institute for Advanced Study