Renan Assimos Martins, Kostas Zemas: Reading Seminar: Geometric Measure Theory

  • Lecturer: Renan Assimos Martins, Kostas Zemas
  • Date:  Monday, 15:00 - 17:00
  • Room: A3 02
  • Language: English
  • Target audience: MSc students, PhD students, Postdocs

Abstract:

Geometric measure theorem is a very important tool in the studies of many problems of variational nature. It has helped mathematicians in the past to solve important problems in the calculus of variations and geometry. For instance, the concepts of currents and the solution by Rado and Douglas of the Plateau problem.
We plan to cover the following topics very carefully:

  1. Basics in GMT
  2. Rectifiable sets
  3. Varifolds
  4. Currents and the solution of Plateau's problem
  5. Allard Regularity of Varifolds (if time permits)

In this seminar we are reading the book Introduction to Geometric Measure Theory by Leon Simon. We basically follow the book starting at page 1, therefore it is a course that one just needs basics of measure theory to follow.
Everybody is invited to speak, although the organizers will speak whenever is necessary.

 

Regular Lectures (Winter 2018/2019)

06.11.2018, 11:06