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Explore advanced mathematical concepts in this conference talk examining the limiting behavior of the amplituhedron, a geometric object central to modern theoretical physics and scattering amplitude calculations. Delve into the intricate mathematical structures that emerge when pushing the amplituhedron to its theoretical boundaries, investigating how these limits reveal new insights into positive geometry and combinatorial properties. Learn about cutting-edge research methodologies used to analyze these complex geometric constructions and their implications for understanding scattering processes in quantum field theory. Discover the mathematical tools and techniques employed to study deformation limits and their role in uncovering hidden symmetries within the amplituhedron framework. Gain insights into how limiting procedures can illuminate the deeper geometric and algebraic structures underlying particle physics calculations, bridging abstract mathematical concepts with physical phenomena.
