This semester we will be working on ‘‘Geometric Measure Theory’.
Text: Lecture notes by Leon Simon
Email for the working groups is: siam-wg@lists.andrew.cmu.edu
09/07 | Hausdorff Measure | Adrian Hagerty
09/14 | Differentiation of Radon Measure, Approximate Limits, Densities | Kerrek Stinson
09/21 | Lipschitz Functions, Area and Coarea Formulas, Sets of Finite Perimeters | Giovanni Gravina
09/28 | Differential Forms | 09/28
10/05 | Rectifiable and Integral Currents, Boundary Operator, Pushforward of a Current, Currents Representable by Integration | Kevin Ou
10/12 | Rectifiability of Currents | Antoine- Remond-Tiedrez
10/19, 10/26 | Deformation and Approximation Theorems, Isoperimetric Theorems for Currents | Won Eui Hong
11/02, 11/09 | Slicing, Closure Theorem, Compactness Theorem, Existence of Area-Minimizing Surfaces | Son Van
11/16 | Properties of Area-Minimizing Currents | Adrian Hagerty