In this talk, we study a hypergeometric integral associated
with any Laurent polynomial. It is called Feynman integral in physics
and called marginal likelihood integral in statistics. A twisted
cohomology group is a system of difference equations that hypergeometric
integral satisfies. This is a left ideal in a non-commutative ring. It
naturally "converges to" likelihood equations previously studied in
algebraic statistics. The converse operation exists in principle: the
likelihood equation knows the twisted cohomology. We will clarify the
meaning of this statement. Based on joint work with Simon Telen (MPI
MiS) arXiv:2301.13579.
