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401-4469-00L 11 Credits DR , MSC D-USYS , D-BAUG , D-MAVT , D-INFK , D-MTEC , D-MATH , D-BIOL , D-GESS , D-ITET , D-ARCH , D-CHAB

Geometric Measure Theory

Lecturers & Examiners: Prof. Dr. Tom Ilmanen
VVZ CR n/a

Last Updated: 2026-02-05 15:14:57

Abstract

Geometric measure theory studies detailed properties of irregular sets and functions in R^n. Some central notions are: Hausdorff measure, rectifiable and unrectifiable sets, covering theorems, varifolds and currents, first variation.Applications include minimal surfaces with singularities, and singularities of nonlinear PDE. The class will be strongly oriented towards solving exercises.

General Information

Language
English
Levels
DR , MSC

Examination

Type
session examination
Mode
oral 30 minutes

Course Components

Type Title Time & Place Hours
lecture Geometric Measure Theory
  • Mon 13:15-15:00 (ML F 40)
  • Wed 13:15-15:00 (ML H 41.1)
4 h weekly
exercise Geometric Measure Theory
  • Fri 13:15-15:00 (HG G 5)
2 h weekly

Offered In