Notes on Motivic Periods
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The second part of a set of notes based on lectures given at the IHES in 2015 on Feynman amplitudes and motivic periods.
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Cited by 5 Pith papers
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Motivic Galois theory for one-loop Feynman integrals in momentum space
Constructs motivic local systems for one-loop graphs in momentum space whose weight-graded pieces are Tate twists of quadratic Artin motives from maximally cut quotient graphs, along with a formula for the de Rham mot...
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Deriving motivic coactions and single-valued maps at genus zero from zeta generators
Proves conjectural reformulation of motivic coaction and single-valued maps via zeta generators for multiple polylogarithms at genus zero on the Riemann sphere.
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Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals
An extension of the Griffiths-Dwork algorithm produces twisted Picard-Fuchs operators for hypergeometric, elliptic, and Calabi-Yau motives from families of Feynman integrals.
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Towards Motivic Coactions at Genus One from Zeta Generators
Proposes motivic coaction formulae for genus-one iterated integrals over holomorphic Eisenstein series using zeta generators, verifies expected coaction properties, and deduces f-alphabet decompositions of multiple mo...
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Graphical Functions by Examples
Graphical functions, defined as massless three-point position-space integrals, serve as a powerful tool for evaluating multi-loop Feynman integrals, with extensions to conformal field theory and recent algorithmic com...
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