MathemAmplitudes 2019: Intersection Theory & Feynman Integrals

18 Dec 2019, 08:30 → 20 Dec 2019, 13:15 Europe/Zurich

Aula Rosino (Padova)

 

This initiative aims 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.

Participation, by invitation.

Speakers

• Paolo Aluffi (Florida State Univ.)
• Kazuhiko Aomoto (Nagoya Univ.)
• Janko Boehm (Kaiserlautern Univ.)
• Ruth Britto (Trinity College Dublin)
• Francis Brown (Oxford Univ.)
• Simon Caron-Huot (McGill Univ.)
• Claude Duhr (CERN)
• Hjalte Frellesvig (Padova Univ.)
• Johannes Henn (MPI, Munich)
• Enrico Herrmann (SLAC)
• Saiei-Jaeyeong Matsubara-Heo (Kobe Univ.)
• Manoj Mandal (Padova Univ.)
• Katsuhisa Mimachi (Osaka Univ.)
• Sebastian Mizera (IAS Princeton)
• Ettore Remiddi (Bologna Univ.)
• Pierre Vanhove (IPHT Saclay)
• Stefan Weinzierl (Mainz Univ.)
• Masaaki Yoshida (Kyushu Univ.)
• Yang Zhang (Univ. of Sci. and Tech. of China)

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Venue

The workshop will be held in two different places: 
on December 18, in Archivio Antico at Palazzo Bo (via 8 Febbraio, 2, 35122 Padova PD);
on December 19-20, in Aula Rosino, at Specola (Vicolo dell'Osservatorio, 5, 35122 Padova PD).

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group_photo_mathemamplitudes19.jpg

MathemAmplitudes19_Poster.pdf

Wednesday, 18 December

08:30 → 09:00 Registration

09:00 → 09:15 Welcome: Opening Talks

09:00 Welcome from the Prorettore alle Relazioni Internazionali

Speaker: A. Paccagnella

09:07 Welcome from the Director of the DFA

Speaker: F. Seno

09:15 → 09:45 From Diagrammar to Diagrammalgebra

Speaker: P. Mastrolia

1.mastrolia_MA19.pdf

09:45 → 10:30 A simple algorithm for canonical differential equations for Feynman Integrals

Speaker: J. M. Henn

2.Henn_MA19.pdf

10:30 → 11:00 Coffee Break

11:00 → 11:45 Product of Hessians and Discriminant of Critical Points of Level Function for Hypergeometric Integrals

Speaker: K. Aomoto

4.Aomoto_MA19.pdf

11:45 → 12:30 Application of the intersection theory to the connection problem related with differential equations

Speaker: K. Mimachi

5.Mimachi_MA19.pdf

12:30 → 14:30 Lunch

14:30 → 15:15 Status of Intersection Theory and Feynman Integrals

Speaker: S. Mizera

1.Mizera_MA19.pdf

15:15 → 16:00 Application of Intersection Theory to Feynman Integrals: univariate case

Speaker: H. A. Frellesvig

2.Frellesvig_MA19.pdf

16:00 → 16:30 Coffee Break

16:30 → 17:15 From positive geometries to a coaction on hypergeometric functions

Speaker: R. Britto

4.Britto_MA19.pdf

17:15 → 18:00 Maximal Cuts and Wick Rotations

Speaker: E. Remiddi

5.Remiddi_MA19.pdf

Thursday, 19 December

09:00 → 09:45 Integration-by-parts identities for Feynman integrals using massively parallel methods in computer algebra

Speaker: J. Böhm

1.boehm_MA19.pdf

09:45 → 10:30 Schwarz map for the hypergeometric function

Speaker: M. Yoshida

2.Yoshida_MA19.pdf

10:30 → 11:00 Coffee Break

11:00 → 11:45 Applications of Intersection Theory to Feynman Integrals: multivariate case

Speaker: M. K. Mandal

4.mandal_MA19.pdf

11:45 → 12:30 Poincare dual of Feynman integrals

Speaker: S. Caron-Huot

12:30 → 14:30 Lunch

14:30 → 15:15 Characteristic classes in intersection theory

Speaker: P. Aluffi

1.Aluffi_MA19.pdf

15:15 → 16:00 Scattering forms and the CHY representation

Speaker: S. Weinzierl

2.Weinzierl_MA19.pdf

16:00 → 16:30 Coffee Break

16:30 → 17:15 Computing cohomology intersection numbers of GKZ hypergeometric systems

Speaker: S. Matsubara-Heo

4.Matsubara_MA19.pdf

17:15 → 18:00 Module intersection: a powerful modern IBP reduction method

Speaker: Y. Zhang

5.Yang_MA19.pdf

20:00 → 23:00 Social Dinner: Caffe' Pedrocchi Restaurant

Friday, 20 December

09:00 → 09:45 Closed string amplitudes from single-valued correlation functions

Speaker: P. Vanhove

1.Vanhove_MA.pdf

09:45 → 10:30 Iterated Eisenstein integrals and analytic continuation of Feynman integrals

Speaker: C. Duhr

2.Duhr_MA.pdf

10:30 → 11:00 Coffee Break

11:00 → 11:45 Hypergeometric functions, cohomology with coefficients and Galois coactions

Speaker: F. Brown

4.Brown_MA19.pdf

11:45 → 12:30 Logarithmic forms and differential equations for Feynman integrals

Speaker: E. Herrmann

5.Herrmann_MA.pdf

12:30 → 13:00 Four-loop master integrals and hypergeometric functions

Speaker: S. Laporta

6.Laporta_MA.pdf