Explore the intricate connections between basic curvature, the Atiyah cocycle, and Batalin-Vilkovisky (BV) formalism in this comprehensive lecture by Athanasios Chatzistavrakidis. Delve into advanced mathematical concepts and their applications in theoretical physics as the speaker unravels the relationships between these fundamental topics. Gain insights into the geometric and algebraic structures underlying modern field theories and string theory. Suitable for graduate students and researchers in mathematics and theoretical physics, this talk provides a deep dive into the intersection of differential geometry, cohomology theory, and quantum field theory.