Moduli Spaces of Flat Connections, BV Formalism and the Goldman-Turaev Lie Bialgebra

Explore the intricate world of moduli spaces of flat connections and their relationship to the Goldman-Turaev Lie algebra in this 1-hour 12-minute seminar from the Prague Mathematical Physics Seminar. Begin with a constructive approach to assigning a Lie algebra to a surface, known as the Goldman-Turaev Lie algebra. Delve into the moduli space of flat connections, examining its proven Poisson structure and the existence of a Lie algebra map to the GT Lie algebra. Investigate the implications of adding a differential and extending the focus to superalgebras, questioning whether the established results still hold in this context. Join Jan Pulmann from the University of Edinburgh as he guides you through these complex mathematical concepts and reveals the answers to these intriguing questions.