Combinatorics and Geometry of the Amplituhedron

Explore the mathematical foundations of particle physics in this advanced lecture from Harvard University's Lauren Williams, delivered at the Combinatorics of Fundamental Physics Workshop. Delve into the intricate relationships between combinatorial structures and geometric properties of the amplituhedron, a geometric object that has revolutionized our understanding of particle interactions. Learn how this mathematical framework simplifies complex calculations in quantum field theory and provides new insights into scattering amplitudes. The hour-long presentation combines theoretical concepts with practical applications, demonstrating how combinatorial methods illuminate the structure of physical theories.