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401-3581-67L 8 Credits BSC , MSC D-MATH

Symplectic Geometry

Lecturers & Examiners: Dr. Patricia Dietzsch

VVZ CR n/a

Last Updated: 2026-02-05 16:14:48

Abstract

This is an introductory course in symplectic geometry. We will cover some foundations of symplectic geometry (such as local theory, Lagrangian submanifolds and Hamiltonian flows). The last part of the course will be devoted to symplectic capacities and some rigidity results.

Objective

Get acquainted with the basics of symplectic geometry

Resources

Literature

- Lectures on Symplectic Geometry, by A. Cannas da Silva (Springer) - Introduction to Symplectic Topology, by D. McDuff and D. Salamon (Oxford) - Symplectic Invariants and Hamiltonian Dynamics, by H. Hofer and E. Zehnder (Birkhäuser)

Learning Materials (Links)

Main link
Information
Documents
Webpage

General Information

Language: English
Levels: BSC , MSC

Examination

Type: end-of-semester examination
Mode: written 180 minutes
Aids: None

Course Components

Type	Title	Time & Place	Hours
lecture	Symplectic Geometry	Tue 10:15-12:00 (HG D 1.2) Thu 08:15-10:00 (HG D 1.2) 14.11 Date 10:15-12:00 (HG F 26.3)	4 h weekly
exercise	Symplectic Geometry Groups are selected in myStudies.	Fri 12:15-13:00 (HG F 26.5)	1 h weekly

Offered In

Mathematics Bachelor
- Electives
  - Selection: Geometry
Mathematics Master
- Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 14 of the required 26 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
  - Electives: Pure Mathematics
    - Selection: Geometry