104.642 AKANA AKGEO From geometric to analytic inequalities
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2023W, VO, 2.0h, 3.0EC

Properties

  • Semester hours: 2.0
  • Credits: 3.0
  • Type: VO Lecture
  • Format: Presence

Learning outcomes

After successful completion of the course, students are able to formulate and prove important geometric inequalities. Furthermore, they can derive corresponding functional counterparts using various methods.

Subject of course

Minkowski sum of convex bodies, Brunn–Minkowski inequality, Prékopa–Leindler inequality, polar bodies and volume product, Blaschke–Santaló inequality and its functional version for log-concave functions, projection bodies, Petty projection inequality, affine Sobolev inequality

Teaching methods

Mathematical definitions and proves

Mode of examination

Oral

Additional information

Preliminary meeting: Wednesday, October 4th, 14:00 in the "Besprechungsraum", 7th floor, green area.

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Wed14:00 - 14:4504.10.2023 Besprechungsraum, 7th floor, green areaPreliminary meeting
Wed14:00 - 16:0011.10.2023 - 24.01.2024Sem.R. DA grün 06B Lecture
Wed14:00 - 16:0008.11.2023Sem.R. DB gelb 10 Lecture
Wed14:00 - 16:0017.01.2024CAD1 Lecture
AKANA AKGEO From geometric to analytic inequalities - Single appointments
DayDateTimeLocationDescription
Wed04.10.202314:00 - 14:45 Besprechungsraum, 7th floor, green areaPreliminary meeting
Wed11.10.202314:00 - 16:00Sem.R. DA grün 06B Lecture
Wed18.10.202314:00 - 16:00Sem.R. DA grün 06B Lecture
Wed25.10.202314:00 - 16:00Sem.R. DA grün 06B Lecture
Wed08.11.202314:00 - 16:00Sem.R. DB gelb 10 Lecture
Wed22.11.202314:00 - 16:00Sem.R. DA grün 06B Lecture
Wed29.11.202314:00 - 16:00Sem.R. DA grün 06B Lecture
Wed06.12.202314:00 - 16:00Sem.R. DA grün 06B Lecture
Wed13.12.202314:00 - 16:00Sem.R. DA grün 06B Lecture
Wed20.12.202314:00 - 16:00Sem.R. DA grün 06B Lecture
Wed10.01.202414:00 - 16:00Sem.R. DA grün 06B Lecture
Wed17.01.202414:00 - 16:00CAD1 Lecture
Wed24.01.202414:00 - 16:00Sem.R. DA grün 06B Lecture

Examination modalities

oral exam

Course registration

Not necessary

Curricula

Study CodeObligationSemesterPrecon.Info
860 GW Optional Courses - Technical Mathematics Not specified

Literature

A manuscript will be prepared during the semester and made available to participants.

Language

if required in English