Sixteenth Uppsala Geometry and Physics Seminar
- Date: –14:30
- Location: Häggsalen
- Lecturer: Yan Soibelman (Kansas State University)
- Contact person: Maxim Zabzine
Conventional Riemann-Hilbert correspondence relates differential equations and constructible sheaves. We propose to replace the latter by an appropriate Fukaya category. Based on this idea one can study the RH-correspondence not only for differential but also for q-difference and elliptic difference equations. Arising categories can be described, at least in dimension one, in different ways, e.g. in terms of constructible sheaves on ``skeleta" which are not necessarily Lagrangian. If time permits I am going to discuss the corresponding "non-abelian Hodge theory" and its relationship to periodic monopoles.