About the speaker:
Carlos Rodriguez is a theoretical physicist working on the mathematical aspects of scattering amplitudes. He obtained his PhD from Uppsala University in 2024 and is currently a postdoctoral researcher at the Max Planck Institute for Mathematics in the Sciences in Leipzig.
Abstract:
In this talk we will introduce border bases - a generalization of Gröbner bases - for a noncommutative ring of differential operators. In the context of Feynman integrals, these border bases will consist of differential operators that annihilate a given Feynman integral. We can obtain such border bases from the 1st order linear PDEs Feynman integrals satisfy (i.e. their differential equations). This method returns an ideal of annihilating differential operators that is "big enough," i.e. of finite holonomic rank.
The UNIVERSE+ Online Seminar Series is designed to foster dialogue and collaboration among project partners and those interested in positive geometry.
You are welcome to register here
