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Explore the intricacies of the Batalin-Vilkovisky (BV) formalism in the context of perturbative algebraic quantum field theory in this comprehensive lecture. Delve into the mathematical foundations and applications of this powerful approach as presented by Kasja Rejzner. Gain insights into how the BV formalism is utilized to handle gauge theories and constrained systems within the framework of perturbative algebraic quantum field theory. This in-depth presentation, the first in a series of three, provides a solid foundation for understanding the interplay between mathematical rigor and physical intuition in modern quantum field theory.
