Sommaire:

Symmetries are a powerful tool in the physicist’s toolkit, and when it comes to symmetric functions, rarely can one find functions as symmetric as automorphic forms. What makes certain automorphic forms powerful is their connection to arithmetic, via the theory of L functions. They are core to some of the most challenging and ambitious open problems in modern mathematics, and played a central role for example in the proof of Fermat’s last theorem. These arithmetic structures are valuable to physicists too. The “how” will be addressed in this talk. I will go over what automorphic forms are, how they give rise to arithmetic structures in string theory and quantum field theory, and some applications. Due to the technical nature of this subject, most of it will be an overview with a few new insights and WIP towards the end.

Pour plus d'informations, merci de contacter Alexandrov S.