Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Existence Theory of Minimal Hypersurfaces - Fernando Marquez

Institute for Advanced Study via YouTube

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
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

Reviews

Start your review of Existence Theory of Minimal Hypersurfaces - Fernando Marquez

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.