Program
Introduction to Geometric Measure Theory
Student No.:50
Time:Tue/Thu 10:10-12:00, 2014-02-25 ~ 2014-04-24 (except for public holidays)
Instructor:Leon Simon  [Stanford University]
Place:【Updated】Conference Room 4, Floor 2, Jin Chun Yuan West Building
Starting Date:2014-2-25
Ending Date:2014-4-24

 

Q & A session:  Tue/Thu 13:30, Room 144, Jin Chun Yuan West Building  

   

 

Description:

The course will provide an introduction to Geometric Measure theory suitable for beginning graduate students. The lectures will begin with a quick review of relevant topics from basic measure theory and real analysis, then move on to more advanced topics including rectifiable sets, basic theory of varifolds, the Allard regularity and rectifiability theorems, and the theory of currents, including the deformation, rectifiability, and compactness theorems.

 

Prerequisite:

Graduate level or advanced undergraduate level courses in real analysis and measure theory. No specific PDE prerequisites will be assumed.

 

Reference:

A revised version (in electronic pdf format) of the instructor’s 1983 Canberra notes will be provided. (Should be available in draft form about 1 week before the start of the lectures.)