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Explore the geometric foundations of vacuum wavefunctions in quantum field theory through this advanced theoretical physics seminar. Delve into Cosmohedra, specialized geometric objects that encode vacuum wavefunctions for theories involving colored scalars with cubic interactions. Begin by examining the fundamental properties of vacuum wavefunctions in both Minkowski and de Sitter spacetimes, along with a novel kinematic parameterization using sub-polygons of momentum polygons. Review the ABHY associahedron and its role as the underlying geometry for scattering amplitudes of colored scalars with cubic interactions. Learn the construction process of Cosmohedra through the "blowing up" of Associahedron faces, including concrete definitions of these polytope classes and computational methods for wavefunctions. Discover how this geometric framework extends to n-point correlation functions, providing insights into advanced topics in high energy theoretical physics and mathematical physics.
