Splitting Differential Equations Using Galois Theory

Explore the application of Galois theory to the problem of splitting differential equations in this 48-minute conference talk. Learn how classical Galois theory, traditionally used for polynomial equations, extends to the differential setting to analyze when differential equations can be "split" or decomposed into simpler components. Discover the theoretical foundations that connect algebraic structures with differential systems, examining how symmetries and group actions provide insight into the solvability and structure of differential equations. Gain understanding of the interplay between model theory, algebraic dynamics, and differential-algebraic geometry through this specialized mathematical presentation delivered as part of a workshop focusing on these interconnected fields.