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.
| 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 |
| Schwarz maps for the hypergeometric function PoS(MA2019)011 pdf |
| Introduction to the Intersection Theory for Twisted Homology and Cohomology Groups PoS(MA2019)007 pdf |
| Intersection theory, characteristic classes, and algebro-geometric Feynman rules PoS(MA2019)012 pdf |
| Connection formulas related with Appell's hypergeometric function $F_1$ PoS(MA2019)010 pdf |
| Appell-Lauricella's hypergeometric functions and intersection theory PoS(MA2019)008 pdf |
| Computing cohomology intersection numbers of GKZ hypergeometric systems PoS(MA2019)013 pdf |
| Session 2: Intersection Theory, Integral Relations and Applications to Physics |
| From Diagrammar to Diagrammalgebra PoS(MA2019)015 pdf |
| Status of Intersection Theory and Feynman Integrals PoS(MA2019)016 pdf |
| On the Application of Intersection Theory to Feynman Integrals: the univariate case PoS(MA2019)017 pdf |
| On the Application of Intersection Theory to Feynman Integrals: the multivariate case PoS(MA2019)019 pdf |
| Four-loop master integrals and hypergeometric functions PoS(MA2019)023 pdf |
| Applications of intersection numbers in physics PoS(MA2019)021 pdf |
| A double integral of dlog forms which is not polylogarithmic PoS(MA2019)005 pdf |
| Building blocks of closed and open string amplitudes PoS(MA2019)022 pdf |
| Module Intersection for the Integration-by-Parts Reduction of Multi-Loop Feynman Integrals PoS(MA2019)004 pdf |
| Maximal Cuts and Wick Rotations PoS(MA2019)002 pdf |