The BV Quantisation in NCG: The Case of Finite Spectral Triple

Explore a 31-minute lecture by Roberta Anna Iseppi addressing the challenge of quantising spectral action for spectral triples, particularly when dealing with non-abelian gauge symmetries. Learn how the Batalin–Vilkovisky (BV) formalism serves as a powerful tool for perturbative quantisation of gauge theories, and discover recent progress in developing this formalism entirely within noncommutative geometry (NCG). After a concise introduction to BV quantisation principles, follow the demonstration that the BV formalism can be fully expressed within NCG language for finite spectral triples. This talk was recorded during the thematic meeting "Applications of NonCommutative Geometry to Gauge Theories, Field Theories, and Quantum Space-Time" in April 2025 at the Centre International de Rencontres Mathématiques in Marseille, France.