Departmental Colloquium
Daniel Litt
University of Toronto
The arithmetic of solutions to differential equations
Abstract: When does an algebraic differential equation admit an algebraic solution?
This has been an animating question behind much mathematics since the
latter half of the 19th century. It is now understood (due to work of
Siegel, Grothendieck, Katz, and others) to be closely related to number
theory. I'll survey some of the conjectures and results on this topic,
and explain some recent progress in understanding what happens in the
case of non-linear algebraic differential equations--for example, the
Painlevé VI equation and Schlesinger system--in joint work with Josh Lam.
Friday February 21, 2025 at 3:00 PM in 636 SEO