MA2019
18-20 December 2019
Padova, Italy
published February 15, 2022
Padova, Italy
published February 15, 2022
This initiative aimed at bringing together mathematicians and theoretical physicists with interdisciplinary expertise, ranging from Differential and Algebraic Geometry, Topology and Number Theory, to Feynman Calculus and Scattering Amplitudes, with the goal of discussing the recently discovered role of Intersection Theory for twisted de-Rham cohomologies in the evaluation of Feynman integrals. The goal of the meeting is to identify and propose new, interdisciplinary, common research directions.
Editorial Board
- Hjalte Frellesvig
NBIA Copenhagen - Stefano Laporta
University of Padova - Manoj Kumar Mandal
University of Padova - Pierpaolo Mastrolia
University of Padova - Sebastian Mizera
Institute of Advanced Studies, Princeton
| Sessions |
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| Session 1: Hypergeometric Functions and Intersection Theory |
| Session 2: Intersection Theory, Integral Relations and Applications to Physics |
| Session 1: Hypergeometric Functions and Intersection Theory |
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Product of Hessians and Discriminant of Critical Points of Level Function for Hypergeometric Integrals
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Schwarz maps for the hypergeometric function
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Introduction to the Intersection Theory for Twisted Homology and Cohomology Groups
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Intersection theory, characteristic classes, and algebro-geometric Feynman rules
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Connection formulas related with Appell's hypergeometric function $F_1$
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Appell-Lauricella's hypergeometric functions and intersection theory
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Computing cohomology intersection numbers of GKZ hypergeometric systems
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| Session 2: Intersection Theory, Integral Relations and Applications to Physics |
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From Diagrammar to Diagrammalgebra
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Status of Intersection Theory and Feynman Integrals
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On the Application of Intersection Theory to Feynman Integrals: the univariate case
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On the Application of Intersection Theory to Feynman Integrals: the multivariate case
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Four-loop master integrals and hypergeometric functions
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Applications of intersection numbers in physics
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A double integral of dlog forms which is not polylogarithmic
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Building blocks of closed and open string amplitudes
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Module Intersection for the Integration-by-Parts Reduction of Multi-Loop Feynman Integrals
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Maximal Cuts and Wick Rotations
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