Speaker: Matteo Parisi
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.
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.
Presentation slides: [PDF]