Combinatorial Adventures in Configuration Space

In recent years, a surge of activity has uncovered deep connections between combinatorics, algebraic and tropical geometry, and scattering amplitudes in quantum field theory (QFT). In this talk, I will explain how these ideas naturally build on one another, unveiling new results and open problems in geometric combinatorics. Along the way, I will highlight several rich combinatorial structures that arise, involving the positive Grassmannian and configuration space, matroid subdivisions, and tropical hyperplane arrangements.

For information about the Richard P. Stanley Seminar in Combinatorics, visit… https://math.mit.edu/combin/