104.351 Geometric analysis
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2019W, VO, 3.0h, 4.5EC

Properties

  • Semester hours: 3.0
  • Credits: 4.5
  • Type: VO Lecture

Learning outcomes

After successful completion of the course, students are able to describe the complete solution of the isoperimetric problem and its proof. They know the basic notions of geometric measure theory and Steiner symmetrizaiton and are able to apply them in geometric and analytic problems.

Subject of course

Geometric measure theory (Hausdorff measures, coarea-formula, Besicovitch theorem, Lebesgue points), isoperimetric problems, Steiner symmetrization.

Teaching methods

Mathematical Definitions and proofs

Mode of examination

Oral

Additional information

First lecture and organizational meeting: Thursday, Oct. 3rd, 2 pm

Meeting room of the RU Convex and Discrete Geometry, 7th floor, green tower, Freihaus

 

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Thu14:00 - 14:4503.10.2019 - 30.01.2020 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Mon14:30 - 16:0007.10.2019 - 27.01.2020 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Geometric analysis - Single appointments
DayDateTimeLocationDescription
Thu03.10.201914:00 - 14:45 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Mon07.10.201914:30 - 16:00 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Thu10.10.201914:00 - 14:45 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Mon14.10.201914:30 - 16:00 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Thu17.10.201914:00 - 14:45 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Mon21.10.201914:30 - 16:00 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Thu24.10.201914:00 - 14:45 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Mon28.10.201914:30 - 16:00 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Thu31.10.201914:00 - 14:45 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Mon04.11.201914:30 - 16:00 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Thu07.11.201914:00 - 14:45 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Mon11.11.201914:30 - 16:00 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Thu14.11.201914:00 - 14:45 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Mon18.11.201914:30 - 16:00 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Thu21.11.201914:00 - 14:45 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Mon25.11.201914:30 - 16:00 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Thu28.11.201914:00 - 14:45 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Mon02.12.201914:30 - 16:00 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Thu05.12.201914:00 - 14:45 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture
Mon09.12.201914:30 - 16:00 Besprechungszimmer, Inst. 104-6, Freihaus, 7.Stock, grünLecture

Examination modalities

Oral exam

Course registration

Not necessary

Curricula

Study CodeObligationSemesterPrecon.Info
066 394 Technical Mathematics Mandatory elective
860 GW Optional Courses - Technical Mathematics Not specified
860 GW Optional Courses - Technical Mathematics Not specified

Literature

No lecture notes are available.

Previous knowledge

Basic notions of linear algebra, analysis, functional analysis and measure theory.

Accompanying courses

Language

if required in English