Applied Algebra seminar: Viktoriia Borovik

Speaker: Viktoriia Borovik (University of Osnabrück, https://www.vborovik.website/

Title: Proudfoot-Speyer degenerations of scattering equations

Abstract: We study scattering equations of hyperplane arrangements from the perspective of combinatorial commutative algebra and numerical algebraic geometry. We formulate the problem as linear equations on a reciprocal linear space and develop a degeneration-based homotopy algorithm for solving them. We also investigate the regularity of the corresponding homogeneous ideal and apply our methods to CHY scattering equations. This is joint work with B.Betti and S.Telen.