This workshop aims to bring together researchers from number theory, automorphic representation theory and string theory to explore how automorphic forms that encode degeneracies of BPS could be related to and feed into information theoretic concepts such as quantum error corrections, applied to BPS and near-extremal black hole backgrounds, and to develop machine learning techniques to unveil some of the hitherto undefined automorphic structures underlying the generating functions for BPS black hole microstates in superstring models. This event is the first workshop of the 4-month long BLH programme at the INI centred around the same topics.