03.02.2023, 13:30 (unusal time!)
– Zoom Meeting
Arbeitsgruppenseminar Analysis
The mathematics of causal set theory
Sumati Surya (Raman Research Institute, Bangalore, India)
Lashi Bandara
We consider first-order elliptic differential operators on a compact manifold with boundary. We show that the kernel of the maximal extension, which coincides with the kernel of its associated Neumann Laplacian, is infinite dimensional. These results are obtained by first-order methods, index theory, and through the use of the existence of generalised Atiyah-Patodi-Singer boundary conditions with increasing dimension.