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401-3226-DRL 3 Credits DR D-MATH
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Symmetric Spaces

Lecturers & Examiners: Prof. em. Dr. Alessandra Iozzi
Only for ETH D-MATH doctoral students and for doctoral students from the Institute of Mathematics at UZH. The latter need to send an email to Jessica Bolsinger ( ) with the course number. The email should have the subject „Graduate course registration (ETH)“.
VVZ CR n/a

Last Updated: 2026-02-05 16:07:27

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* Geometry at infinity

Objective

Learn the basics of symmetric spaces

Resources

Learning Materials (Links)

General Information

Language
English
Levels
DR
Frequency
Yearly recurring

Examination

Type
ungraded semester performance

Registration & Places

Priority: Registration for the course unit is only possible for the primary target group

Course Components

Type Title Time & Place Hours
lecture with exercise Symmetric Spaces
  • Wed 08:15-10:00 (HG G 19.1)
  • Thu 12:15-14:00 (HG G 19.1)
  • 16.03 Date 08:15-10:00 (HG G 43)
  • 17.03 Date 12:15-14:00 (HG G 43)
  • 23.03 Date 08:15-10:00 (HG G 43)
  • 24.03 Date 12:15-14:00 (HG G 43)
4 h weekly

Offered In

  • Doctorate Mathematics (More Information at: )
    • Subject Specialisation (The list of courses (together with the allocated credit points) eligible for doctoral students is published each semester in the newsletter of the ZGSM.)
      • Graduate School (Official website of the Zurich Graduate School in Mathematics: In addition to the 401-....-DRL course units, adapted versions for doctoral students of the following course units: 263-4400-00L Advanced Graph Algorithms and Optimization 401-3902-21L Network & Integer Optimization: From Theory to Application 401-3904-22L Convex Optimization 401-3629-00L Quantitative Risk Management 401-3652-00L Numerical Methods for Hyperbolic Partial Differential Equations 151-0530-00L Nonlinear Dynamics and Chaos II 227-0434-10L Mathematics of Information 401-4490-22L Topology Optimization of Engineering Systems ... (continued ))