Lecturer:
Course Type:
PhD Course
Academic Year:
2022-2023
Duration:
50 h
Description:
Course material
- Riemann surfaces: definition and examples
- Holomorphic and meromorphic functions on Riemann surface
- Compact Riemann surface: genus, monodromy, homology
- Differentials on Riemann surface and Riemann bilinear relation
- Jacobi variety and Abel theorem Divisors and Riemann-Roch theorem
- Jacobi inversion problem and theta functions.
- Integrable systems: the Toda Lattice with periodic boundary conditions
- Integrable systems with random initial data and connection with the theory of random matrices and statistical mechanics.
Research Group:
Location:
A-136
Location:
Room 136 on Tuesdays and Fridays, Room 132 on Thursdays