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

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

Project Description

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