Project: Applications of finite geometry to spectral graph theory, subspace codes and Hilbert spaces

2022-10-01 – 2023-10-31

Abstract

The proposed project consists of three topics that are linked by finite geometry. WP1 focuses on determining the cospectrality of graphs coming from finite geometries. WP2 investigates bounds on the parameters of sets of projective subspaces, with applications in Random Network Coding. WP3 translates existing quantum error correcting codes into geometrical structures to make these codes more efficient.