Description
Abstract: Calculating an observable in physics usually boils down to answering the question: which class of special functions is suitable to accomodate the symmetries and describe the particular solution to the problem? In this talk I am asking the other way around: what does it take to define a system of special functions?
I will explore several types of differential equations with different boundary conditions, show how they (and their solutions) can be related and describe, how they are connected to the most basic Knizhnik-Zamolodchikov system. I will briefly comment on how to find functional relations for particular classes of solutions and thereby touch upon geometric approaches to modelling the spaces of functional relations.