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Learn advanced techniques for evaluating Feynman integrals through differential equations and canonical bases in this comprehensive lecture from the Erwin Schrödinger International Institute for Mathematics and Physics. Explore the mathematical framework that connects quantum field theory calculations with algebraic geometry, focusing on systematic methods for solving complex multi-loop integrals that arise in particle physics computations. Discover how differential equation methods provide powerful tools for reducing complicated Feynman integrals to simpler forms, and understand the role of canonical bases in organizing and solving these equations efficiently. Delve into the intersection of theoretical physics and pure mathematics as part of the broader thematic programme on amplitudes and algebraic geometry, gaining insights into cutting-edge research methods used in modern quantum field theory and scattering amplitude calculations.
