PoS - Proceedings of Science

MathemAmplitudes 2019: Intersection Theory & Feynman Integrals

MA2019
18-20 December 2019
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

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Sessions
Session 1: Hypergeometric Functions and Intersection Theory
Session 2: Intersection Theory, Integral Relations and Applications to Physics
Session 1: Hypergeometric Functions and Intersection Theory
Product of Hessians and Discriminant of Critical Points of Level Function for Hypergeometric Integrals
PoS(MA2019)009 pdf K. Aomoto and M. Ito
Schwarz maps for the hypergeometric function
PoS(MA2019)011 pdf M. Yoshida
Introduction to the Intersection Theory for Twisted Homology and Cohomology Groups
PoS(MA2019)007 pdf K. Matsumoto
Intersection theory, characteristic classes, and algebro-geometric Feynman rules
PoS(MA2019)012 pdf P. Aluffi and M. Marcolli
Connection formulas related with Appell's hypergeometric function $F_1$
PoS(MA2019)010 pdf K. Mimachi
Appell-Lauricella's hypergeometric functions and intersection theory
PoS(MA2019)008 pdf Y. Goto
Computing cohomology intersection numbers of GKZ hypergeometric systems
PoS(MA2019)013 pdf S.J. Matsubara-Heo
Session 2: Intersection Theory, Integral Relations and Applications to Physics
From Diagrammar to Diagrammalgebra
PoS(MA2019)015 pdf P. Mastrolia
Status of Intersection Theory and Feynman Integrals
PoS(MA2019)016 pdf S. Mizera
On the Application of Intersection Theory to Feynman Integrals: the univariate case
PoS(MA2019)017 pdf H.A. Frellesvig and L. Mattiazzi
On the Application of Intersection Theory to Feynman Integrals: the multivariate case
PoS(MA2019)019 pdf M.K. Mandal and F. Gasparotto
Four-loop master integrals and hypergeometric functions
PoS(MA2019)023 pdf S. Laporta
Applications of intersection numbers in physics
PoS(MA2019)021 pdf S. Weinzierl
A double integral of dlog forms which is not polylogarithmic
PoS(MA2019)005 pdf C. Duhr and F. Brown
Building blocks of closed and open string amplitudes
PoS(MA2019)022 pdf P. Vanhove and F. Zerbini
Module Intersection for the Integration-by-Parts Reduction of Multi-Loop Feynman Integrals
PoS(MA2019)004 pdf J. Boehm, D. Bendle, W. Decker, A. Georgoudis, F.J. Pfreundt, M. Rahn and Y. Zhang
Maximal Cuts and Wick Rotations
PoS(MA2019)002 pdf E. Remiddi