Abstract for the talk on 30.09.2021 (14:00 h)Seminar on Nonlinear Algebra
Bernd Sturmfels (MPI MIS, Leipzig)
Linear PDE with Constant Coefficients
We discuss practical methods for computing the space of solutions to an arbitrary homogeneous linear system of partial differential equations with constant coefficients. These rest on the Fundamental Principle of Ehrenpreis–Palamodov from the 1960s. We develop this further using recent advances in computational commutative algebra.