Representation Theory and Integrable Systems
Course, Master's level, 1FA028
Expand the information below to show details on how to apply and entry requirements.
Autumn 2026 Autumn 2026, Uppsala, 33%, On-campus, English
- Location
- Uppsala
- Pace of study
- 33%
- Teaching form
- On-campus
- Instructional time
- Daytime
- Study period
- 31 August 2026–17 January 2027
- Language of instruction
- English
- Entry requirements
-
120 credits in mathematics and/or physics. Participation in Mathematical Methods of Physics II or Differential topology. Symmetry and Group theory in Physics or Algebraic Structures. Analytical mechanics. Complex analysis.
- Selection
-
Higher education credits in science and engineering (maximum 240 credits)
- Fees
- If you are not a citizen of a European Union (EU) or European Economic Area (EEA) country, or Switzerland, you are required to pay application and tuition fees.
- First tuition fee instalment: SEK 27,500
- Total tuition fee: SEK 27,500
- Application deadline
- 15 April 2026
- Application code
- UU-13111
Admitted or on the waiting list?
- Registration period
- 27 July 2026–30 August 2026
- Information on registration from the department
Autumn 2026 Autumn 2026, Uppsala, 33%, On-campus, English For exchange students
- Location
- Uppsala
- Pace of study
- 33%
- Teaching form
- On-campus
- Instructional time
- Daytime
- Study period
- 31 August 2026–17 January 2027
- Language of instruction
- English
- Entry requirements
-
120 credits in mathematics and/or physics. Participation in Mathematical Methods of Physics II or Differential topology. Symmetry and Group theory in Physics or Algebraic Structures. Analytical mechanics. Complex analysis.
Admitted or on the waiting list?
- Registration period
- 27 July 2026–30 August 2026
- Information on registration from the department
About the course
In this course you will explore the interplay between representation theory and integrable systems, and through this gain a deeper understanding of their mathematical structures and applications in physics. Topics include Schur-Weyl duality, representations and characters of classical Lie algebras, affine Kac-Moody algebras, Hopf algebras, and symplectic geometry as a framework for Hamiltonian mechanics. You will study integrable systems, including classical and quantum examples, and techniques such as the Yang-Baxter equation, S-matrices, and spin chain Hamiltonians. Emphasis is placed on using representation theory for spectral calculations and applying integrability methods to physical models.
Reading list
No reading list found.