Below is the list of the ICM 2010 sections. More details can be found at this link.

1. Logic and foundations
2. Algebra
3. Number Theory
4. Algebraic and complex geometry
5. Geometry
6. Topology
7. Lie theory and generalizations
8. Analysis
9. Functional analysis and applications
10. Dynamical systems and ordinary differential equations
11. Partial differential equations
12. Mathematical physics
13. Probability and Statistics
14. Combinatorics
15. Mathematical aspects of computer science
16. Numerical analysis and scientific computing
17. Control theory and optimization
18. Mathematics in science and technology
19. Mathematics education and popularization of mathematics
20. History of Mathematics