Speaker
Anna-Laura Sattelberger
Description
We study vector spaces associated to a family of generalized Euler integrals, as which also Feynman integrals can be understood. Those vector spaces have been investigated using tools from homological algebra and the theory of D-modules. The methods are ranging from Bernstein-Sato operators to de Rham cohomology up to hypergeometric systems. Based on ongoing work with Daniele Agostini, Claudia Fevola, and Simon Telen, I present an overview, discuss relations between these approaches, and present new algorithmic tools.