Quantization in Covariant Field Theory with Poisson Algebra Bundles

Explore quantization techniques in covariant field theory through the mathematical framework of Poisson algebra bundles in this 53-minute conference talk. Delve into advanced mathematical physics concepts as presented at the Women at the Intersection of Mathematics and Theoretical Physics discussion meeting. Learn how Poisson algebra bundles provide a geometric approach to quantization problems in field theory while maintaining covariance properties. Examine the mathematical structures that bridge classical and quantum field theories, with particular emphasis on the algebraic and geometric aspects of the quantization process. Discover how this framework addresses fundamental challenges in theoretical physics by providing rigorous mathematical foundations for quantum field theory formulations. Gain insights into cutting-edge research at the intersection of differential geometry, algebraic structures, and quantum field theory, presented as part of a workshop designed to foster collaboration and education in mathematical physics.