Course Identification

Title:

Introduction to symplectic geometry

Code:

20254122

Lecturers and Teaching Assistants

Lecturers:

Dr. Shira Tanny

TA's:

N/A

Course Schedule and Location

Year:

2025

Semester:

Second Semester

When / Where:

Tuesday, 13:00 - 15:00, Ziskind, Rm 1

First Lecture:

25/03/2025

End date:

01/07/2025

Field of Study, Course Type and Credit Points

Mathematics and Computer Science: 2.00 points

Comments

N/A

Prerequisites

Manifolds, differential forms, basic ODE. The courses Differential Geometry and Algebraic Topology could serve as a preparation for this course.

Restrictions

Participants:

15

Language of Instruction

English

Attendance and participation

Expected and Recommended

Grade Type

Numerical (out of 100)

Grade Breakdown (in %)

Interim:

30%

Final:

70%

Evaluation Type

Final assignment

Scheduled date 1

Date / due date

N/A

Location

N/A

Time

-

Remarks

N/A

Estimated Weekly Independent Workload (in hours)

N/A

Syllabus

An introduction to the basic concepts and notion in symplectic geometry and Hamiltonian dynamics:

Hamiltonian formalism of classical mechanics, symplectic manifolds, Hamiltonian flows and periodic orbits, symplectic embedding problems and symplectic capacities.

Learning Outcomes

One will be familiar with the basic objects in the field and their properties, and understand some of the connections between the geometric and dynamical sides.

Reading List

McDuff-Salamon: Introduction to symplectic topology; Hofer-Zehnder: Symplectic invariants and Hamiltonian dynamics.

Website

N/A