The Non-Abelian p-Curvature Conjecture

Explore a lecture on the Non-Abelian p-Curvature Conjecture presented by Daniel Litt from the University of Toronto at the Institut des Hautes Etudes Scientifiques (IHES). Delve into an extended version of the Grothendieck-Katz p-curvature conjecture for non-linear ODEs in algebraic geometry, including examples like the Painlevé VI equation and the Schlesinger system. Learn how this formulation implies the classical conjecture and discover the proof for "Picard-Fuchs initial conditions." Understand the inspiration behind the proof, drawing from Katz's resolution of the classical p-curvature conjecture for Picard-Fuchs equations and Esnault-Groechenig's recent resolution for rigid Z-local systems. Gain insights into this joint work with Josh Lam during the 1-hour 3-minute presentation, which is available on the French video platform CARMIN.tv, offering additional functionalities for the research community in mathematics and related sciences.