Symbolic Integration of Differential Forms: from Abel to Zeilberger

jeudi 4 juin 2026, 15:30 → 16:30 Europe/Paris

Salle Pellos (1R2 - 207) (IMT)

This talk focuses on symbolic integration of differential forms, with a particular emphasis on historical and modern developments, from Abel’s addition theorems for Abelian integrals to Zeilberger’s creative telescoping for parameterized integrals. It explores closed rational p-forms and provides algorithmic approaches for their integration, extending classical results like Hermite reduction and Liouville’s theorem. The integration of closed differential forms with parameters is further examined through telescopers, offering a unified framework for handling both algebraic and transcendental cases. This talk is based on a joint work with David A. Cox and Yisen Wang.