Modular Graph Functions, Forms, and Tensors
Duration: 60 mins
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About this item
| Description: |
D'Hoker, E
Tuesday 25th May 2021 - 15:30 to 16:30 |
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| Created: | 2021-05-26 17:15 |
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| Collection: | New connections in number theory and physics |
| Publisher: | Isaac Newton Institute for Mathematical Sciences |
| Copyright: | D'Hoker, E |
| Language: | eng (English) |
| Abstract: | Modular graph functions map Feynman graphs to SL(2,Z)-invariant functions. They generalize non-holomorphic Eisenstein series, multiple zeta values, and are related to single-valued elliptic polylogarithms. They may be generalized to modular graph forms, which are covariant under SL(2,Z), and obey infinite families of algebraic and differential identities. String theory amplitudes produce modular graph functions and forms associated with Riemann surfaces of genus one and naturally lead to a generalization of modular graph functions at higher genus, where they generalize Kawazumi-Zhang and Faltings invariants. Various algebraic and differential identities between modular graph functions and tensors at higher genus have recently been established. |
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