Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers : Springer : 9783030264567 : 3030264564 : 15 Jul 2021 : This edited volume presents a fascinating collection of lecture notes focusing on differential equations from two viewpoints: formal calculus (through the theory of Gröbner bases) and geometry (via quiver theory). Gröbner bases serve as effective models for computation in algebras of various types. Although the theory of Gröbner bases was developed in the second half of the 20th century, many works on computational methods in algebra were published well before the introduction of the modern algebraic language. Since then, new algorithms have been developed and the theory itself has greatly expanded. In comparison, diagrammatic methods in representation theory are relatively new, with the quiver varieties only being introduced ? with big impact ? in the 1990s. Divided into two parts, the book first discusses the theory of Gröbner bases in their commutative