Fall 2017: Geometric Measure Theory
The first meeting will be in WEH 8201 on August 31.
Geometric Measure Theory is voted to be the topic this semester. We will meet every week on Thursday, 2:303:30 in WEH 7218.
We will most likely follow the lecture notes by Leon Simon, which is available here.
Another great resource is Frank Morgan’s book, which is freely available to CMU students via the library.
For the first part of the working group, good references are:

Evans & Gariepy’s “Measure theory and fine properties of functions”

Maggi’s “Sets of finite perimeter and geometric variational problems”. This is available via the library as well.
If you are bored about the pace of the working group, here’re some movies that could excite you.
Schedule (so far)
Name  Chapter(s)  Date  Topic 

08/31  Introduction and scheduling  
Adrian Hagerty  09/07  Hausdorff measure  
Kerrek Stinson  09/14  Differentiation of Radon measure, approximate limits, densities  
Giovanni Gravina  09/21  Lipschitz functions, area and coarea formulas, sets of finite perimeters  
Sam Cohn  09/28  Differential forms  
Kevin Ou  10/05  Rectifiable and Integral Currents, Boundary Operator, Pushforward of a Current, Currents representable by Integration  
Antoine RemondTiedrez  10/12  Rectifiability of currents  
Won Eui Hong  10/19, 10/26  Deformation and approximation Theorems, Isoperimetric Theorem for Currents  
Son Van  11/02, 11/09  Slicing, Closure Theorem, Compactness Theorem, Existence of areaminimizing surfaces  
Adrian Hagerty  11/16  Properties of areaminimizing currents 
Participants (so far that is known to the organizers): Adrian Hagerty, Antoine RemondTiedrez, Son Van, Giovanni Gravina, Won Eui Hong, Kerrek Stinson, Sam Cohn, Likhit Ganedi, Yangxi (Kevin) Ou