Hypergeometric study of Feynman (Euler) integrals

Euler integral gains new attention after the introduction of the Lee-Pomeransky representation of Feynman integrals. As an integral is a transcendental object to study, it is natural to seek a system of equations that characterizes the integral. One can find such a system of differential, difference, and even difference-differential equations through twisted cohomology. We discuss what we can learn from it and what we need to develop.