Sixteenth Uppsala Geometry and Physics Seminar

  • Datum: –14.30
  • Plats: Häggsalen
  • Föreläsare: Yan Soibelman (Kansas State University)
  • Kontaktperson: Maxim Zabzine
  • Seminarium

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.