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Explore advanced techniques in Feynman integral computation through this mathematical physics lecture focusing on integrand analysis for polylogarithmic functions and their extensions. Delve into sophisticated methods for analyzing the structure of Feynman integrands before integration, examining how polylogarithmic functions arise naturally in quantum field theory calculations and learning techniques that extend beyond traditional polylog approaches. Master the mathematical frameworks used to understand the analytic properties of multi-loop integrals, including their singularity structures and branch cuts. Gain insights into cutting-edge research connecting algebraic geometry with amplitude calculations in theoretical physics, particularly relevant for high-energy particle physics computations. This presentation forms part of a comprehensive series on Feynman integrals delivered during the Erwin Schrödinger International Institute's thematic programme on amplitudes and algebraic geometry, providing essential knowledge for researchers working at the intersection of mathematics and theoretical physics.
