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401-3226-00L 8 Credits DR , MSC D-MATH
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Symmetric Spaces

Lecturers & Examiners: Prof. em. Dr. Marc Burger
VVZ CR n/a

Last Updated: 2026-02-05 15:41:22

Abstract

* Generalities on symmetric spaces: locally and globally symmetric spaces, groups of isometries, examples* Symmetric spaces of non-compact type: flats and rank, roots and root spaces* Iwasawa decomposition, Weyl group, Cartan decomposition* Hints of the geometry at infinity of SL(n,R)/SO(n).

Objective

Learn the basics of symmetric spaces

Resources

Learning Materials (Links)

General Information

Language
English
Levels
DR , MSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 30 minutes

Course Components

Type Title Time & Place Hours
lecture with exercise Symmetric Spaces
  • Tue 10:15-12:00 (HG F 26.5)
  • Thu 08:15-10:00 (HG F 26.5)
4 h weekly

Offered In

  • Mathematics Master
    • Core Courses (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 15 of the required 28 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
  • Doctoral Department of Mathematics (More Information at: The list of courses (together with the allocated credit points) eligible for doctoral students is published each semester in the newsletter of the ZGSM. WARNING: Do not mistake ECTS credits for credit points for doctoral studies!)