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Geometric Measure Theory and Applications

MA5925Elective ModulesEnglishUnregelmäßigDepartment Mathematics
AI-edited module sheet. Based on the TUMonline module description, edited for readability.Original in TUMonline

What it is about

You will learn the fundamentals of Geometric Measure Theory and how to transfer classical geometric properties of smooth sets to non-smooth situations. In the end you will be able to understand and apply central concepts such as tangent measures, Hausdorff measures, rectifiability, as well as area- and co-area-formulas, and follow the modern analysis of the Plateau problem.

What you will be able to do

  • Understand and apply the main concepts of Geometric Measure Theory
  • Analyze classical regularity questions of minimizers of variational functionals
  • Apply area- and co-area-formulas in non-smooth contexts

What the module consists of

  • LectureConveying theoretical content and examples
  • ExerciseDeepening the content through exercises with solutions

Teaching method

  • Blackboard lecturesLecture and demonstration of the content
  • Discussion with studentsEncourages independent thinking and understanding
  • Exercise sessions with problem sheets and solutionsEnable self-check and deeper comprehension
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Official page in TUMonline · Details are not binding.