Feynman Green's Operators for Dirac Operators with Non-local Boundary Conditions

• Applicant: Dr. Onirban Islam, Ph.D.
• Subject Area: Mathematics
• Term: since 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 546644682

This project aims to construct Feynman Green's operators for Dirac-type operators on a globally hyperbolic manifold with time-like boundary, subject to non-local boundary conditions. As a byproduct of this construction, we would like to investigate the index theorem and Hadamard quantum states on such manifolds.

• DFG Programme: Research Grants