Online seminar "Schubert Analysis in Embedding Space and Canonical Differential Equations"

by Yang Qinglin (Institute of Theoretical Physics, Chinese Academy of Sciences)



Recently, tremendous progress has been made in symbology study and bootstrapping strategy for (multi-polylogarithmic/elliptic) Feynman Integrals. In this talk we try to relate this novel topics to usual canonical differential equation (CDE) method by introducing Schubert analysis in embedding space and investigating possible mathematical structures for CDEs. We will firstly introduce the method by discussing one-loop CDEs and their alphabet, seeing that one-loop CDEs can be purely fixed by the method without integration-by-part calculation. We will then turn to higher-loop cases and talk about relations between individual UT basis and Schubert problems. We will also talk about elliptic integral in the final example.