Reflection Groups and Singularity Theory

by Prof. Boris Dubrovin

1. Weyl groups of simple Lie algebras and simple singularities of functions.

2. Finite subgroups in SU(2), Weyl groups and Kleinian singularities.

3. Orbit space of reflection groups. Versal deformations of simple singularities.

4. Discriminant, monodromy group, intersection form, period map and Gauss-Manin connection of an isolated singularity.

5. Singularity theory and isomonodromy deformations of differential operators with rational coefficients.