Speaker
Eric Pichon-Pharabod
Description
We consider affine arrangements of hyperplanes with a displacement parameter. Such systems notably appear in the study of scattering amplitudes in cosmology. The twisted cohomology of such a system inherits a differential connection. We show that in a certain choice of basis of the cohomology that comes from positive geometry, this connection is automatically in canonical form. Furthermore, the connection admits a block structure that is tightly related to geometrical data of the arrangements, which we will illustrate on several concrete examples.
