Representation Theory and Integrable Systems
Course, Master's level, 1FA028
Autumn 2025 Autumn 2025, Uppsala, 33%, On-campus, The course will be taught in English, if needed
- Location
- Uppsala
- Pace of study
- 33%
- Teaching form
- On-campus
- Instructional time
- Daytime
- Study period
- 1 September 2025–18 January 2026
- Language of instruction
- The course will be taught in English, if needed
- 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 24,167
- Total tuition fee: SEK 24,167
- Application deadline
- 15 April 2025
- Application code
- UU-13111
Admitted or on the waiting list?
- Registration period
- 25 July 2025–31 August 2025
- Information on registration from the department
Autumn 2025 Autumn 2025, Uppsala, 33%, On-campus, The course will be taught in English, if needed For exchange students
- Location
- Uppsala
- Pace of study
- 33%
- Teaching form
- On-campus
- Instructional time
- Daytime
- Study period
- 1 September 2025–18 January 2026
- Language of instruction
- The course will be taught in English, if needed
- 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
- 25 July 2025–31 August 2025
- 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.
Syllabus
No syllabus found.
Reading list
No reading list found.