A Seminar on Geometric Measure Theory, Varifolds, and Their Applications

Technicalities

• Date: July 9-12, 2018
• Place: Portland State University, Portland, Oregon
• Room Location: B1-82 Science Research & Teaching Center (SRTC)
• Web-page

Downloads:

• Handout
• Summary of theorems and facts
• Handwritten lecture notes
• Exercises

Literature:

• H. Federer "Geometric measure theory"
• W. Allard "On the first variation of a varifold"
• U. Menne "Weakly differentiable functions on varifolds"
• U. Menne "Sobolev functions on varifolds"

Auxiliary literature:

• L. Simon "Lectures on geometric measure theory"
• F. Almgren "Plateau's problem. An invitation to varifold geometry"
• F. Morgan "Geometric Measure Theory. A Beginner's Guide"
• F. Almgren "The theory of varifolds"
• U. Menne "The concept of varifold"
• L. Evans and R. F. Gariepy "Measure theory and fine properties of functions"
• W. P. Ziemer "Weakly Differentiable Functions"
• E. M. Stein "Singular integrals and differentiability properties of functions"
• C. Scharrer Relating diameter and mean curvature for varifolds