Workshop on Nonlinear Algebra and Combinatorics from Physics

Explore the intersection of nonlinear algebra and combinatorics through this comprehensive workshop featuring leading researchers presenting cutting-edge developments in mathematical physics. Delve into diverse topics including nonlinear spaces derived from linear structures, tautological classes of matroids, and the geometric foundations of scattering amplitudes. Examine the role of amplituhedra in particle physics, investigate Feynman integrals through algebraic geometry, and discover connections between Bruhat interval polytopes and combinatorial structures. Learn about invariant theory applications in maximum likelihood estimation, explore sigma functions on algebraic curves, and understand how Landau discriminants relate to particle physics computations. Investigate the geometric properties of hypersimplices and their relationship to amplituhedra, study top weight cohomology of moduli spaces, and examine Feynman polytopes in quantum field theory. Conclude with insights into the fundamental connections between spacetime, quantum mechanics, and combinatorial geometries, providing a comprehensive overview of how algebraic and combinatorial methods illuminate physical phenomena and advance our understanding of both mathematics and theoretical physics.