Title: Integrability, Rationality & Convolutions
Abstract: The Eisenstein-Kronecker function is a useful object in number theory and physics. It is a tool for proving rationality for period integrals of cusp forms. It generates integration kernels of elliptic polylogarithms which express Feynman diagrams on the torus. It is the central object in the construction of elliptic R-matrices. We propose a new description in terms of iterated convolutions of the Eisenstein zeta function and discuss its features in the various settings.
Leave a Comment
Last Updated: 4th August 2020 by George Rogers
Marianne Leitner (Dublin Institute for Advanced Studies)
Title: Integrability, Rationality & Convolutions
Abstract: The Eisenstein-Kronecker function is a useful object in number theory and physics. It is a tool for proving rationality for period integrals of cusp forms. It generates integration kernels of elliptic polylogarithms which express Feynman diagrams on the torus. It is the central object in the construction of elliptic R-matrices. We propose a new description in terms of iterated convolutions of the Eisenstein zeta function and discuss its features in the various settings.
Category: Uncategorised
Recent Posts
International physics conference, hosted by DIAS, seeks to address gender equality
DIAS Astrophotography competition goes mobile for 2024
Irish scientists are part of groundbreaking discovery with James Webb Space Telescope
Dr Pauline Gagnon (formerly of CERN) to deliver two talks at DIAS
DIAS Professor announced as next President of the European Southern Observatory’s Council
Language switcher