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401-4542-26L 5 Credits DR , MSC D-MATH

Integrable Systems and Symplectic Geometry

Lecturers & Examiners: Dr. Joé Brendel
VVZ CR n/a

Last Updated: 2026-06-03 00:14:18

Abstract

Completely integrable systems have played a central role in physics and mathematics over the last few centuries. In this course, we will have an in-depth look at them from the point of view of symplectic geometry.

Content

Completely integrable systems have played a central role in physics and mathematics over the last few centuries. In this course, we will have an in-depth look at them from the point of view of symplectic geometry. Topics we discuss include the Arnold--Liouville theorem, obstructions to the existence of global action-angle, singularities of integrable systems and many examples. In the end, we will give an overview of almost toric fibrations (a special type of completely integrable systems) and their applications to modern symplectic topology.

General Information

Language
English
Levels
DR , MSC

Examination

Type
session examination
Mode
oral 20 minutes
The performance assessment is offered every session (meaning Summer and Winter), but only in Summer 2026 and Winter 2027.

Course Components

Type Title Time & Place Hours
lecture with exercise Integrable Systems and Symplectic Geometry
Mon 12-14 (2-weekly) lecture or exercises Tue 13-15 lecture in HG D 7.1
  • Mon 12:15-14:00 (HG D 7.1)
  • Tue 13:15-15:00 (HG D 7.1)
3 h weekly

Offered In