This seminar series seeks to assemble research scientists (mathematicians, computer scientists, economists) together with industry (for example, finance, health, government, and law) to discuss the current breakthroughs and research challenges in areas that underpin blockchain technology. An important aspect of this workshop (and the reason for being held at Fields) is to shine a brighter light on the role that mathematics currently plays, and it will continue to play, in the foundations of this area. Equally important is to focus attention on blockchain (as opposed to just cryptocurrency) and its fundamental underpinning (rather than applications by enthusiasts). The major objective of this seminar is to disseminate the latest results and state of the art mathematical methods from researchers to academics, students, and especially to the industry. Another key objective is to uncover and expose some of the more theoretical aspects of blockchain technology and expose open questions of fundamental importance for the viability, applicability and continued relevance of the ecosystem.