This will be a one-week conference highlighting recent advances in algebraic topology and related fields. The guiding theme will be the use of algebraic and categorical structure to better understand geometric contexts. We hope by bringing together mathematicians from diverse subfields in algebraic topology, who use similar techniques to achieve different goals, we can foster new ideas and perspectives. The event will feature invited talks, mini-courses, contributed talks, and time for informal interactions in a relaxed and tropical atmosphere.