Quadratic relations between Bessel moments
A number of classical relations between periods, such as Legendre's relation for periods of elliptic curves, arise from the compatibility of the intersection pairing on de Rham and Betti cohomology with the period isomorphism. In the first part of the talk, I will give a friendly introduction to this phenomenon, with emphasis on how to compute intersection matrices. In the second part, I will explain how to interpret the moments of the Bessel functions as periods and derive quadratic relations between them that were found empirically by Broadhurst and Roberts. The talk is based on joint work with Claude Sabbah and Jeng-Daw Yu [arXiv:2006.02702].
This is the page for the online seminar on motives and period integrals in Quantum field theory and String theory.
The seminars will solely take place online
Zoom Meeting ID: 264 969 3492
Passwords: sent to participants by email the day before the seminar via the mailing list.
If you are interested in joigning this seminar series you should contact the organisers.
Pierre Vanhove and Federico Zerbini