1. Background
The conjectures of Shapiro and Shapiro tie together recent work in real
enumerative geometry and a variant of the pole placement problem asking for
real feedback laws.
Its history is similarly connected.
The first substantial evidence for it was found while investigating the pole
placement problem numerically [RS].
- Real enumerative geometry.
- Linear systems.
- Pole placement problem.
- History of the conjectures.
2. Complete intersections: hypersurface Schubert
condition.