Spring, 2025

• Speaker Matteo Parisi, Harvard CMSA
  • Title Amplituhedra & Scattering Amplitudes: A Novel Combinatorial-Geometric Approach to Particle Physics
  • Time/place 5/9/2025, Friday, 11:00 am (Eastern Time), Hill 705 (in person)
  • Abstract Recent studies of scattering amplitudes—the probabilities of particle interactions in quantum field theory—have led to remarkable connections with algebraic combinatorics and geometry. A striking example is the amplituhedron, a novel object whose volume gives scattering amplitudes in planar N=4 super Yang-Mills theory. Computing this volume requires decomposing (or tiling) the amplituhedron into smaller pieces (or tiles) and summing their volumes. In this talk, I will introduce the amplituhedron, explain its ties to the Grassmannian and total positivity, and discuss our recent advances in understanding its tiles, tilings, and novel connections with cluster algebras.