MathemAmplitudes: Co-homology and Combinatorics of GKZ systems, Euler-Mellin-Feynman Integrals and Scattering Amplitudes

Europe/Berlin
02.430 (Mainz Institute for Theoretical Physics, Johannes Gutenberg University)

02.430

Mainz Institute for Theoretical Physics, Johannes Gutenberg University

Staudingerweg 9 / 2nd floor, 55128 Mainz
Description

The interplay between advanced mathematical techniques and theoretical physics has become essential for deepening our understanding of quantum field theory, Feynman integrals, and scattering amplitudes.

Recent mathematical breakthroughs—ranging from twisted cohomology, intersection theory, and D-modules to tropical geometry and Euler integrals—have provided powerful frameworks for analyzing and computing these fundamental objects. At the same time, the intricate analytic structure of Feynman integrals provides concrete examples that both challenge and enrich these mathematical theories.

A primary goal of this meeting is to bring together mathematicians and theoretical physicists from diverse fields—including Differential and Algebraic Geometry, Topology, Number Theory, Feynman Calculus, and Scattering Amplitudes—to explore novel approaches for evaluating Feynman integrals and scattering amplitudes. The conference will also address the broader implications of these developments for collider physics, cosmology, string theory, statistics, and pure mathematics.

MathemAmplitudes 2025 will provide a collaborative environment to leading researchers and early-career scientists to foster interdisciplinary dialogue and identify new common research directions in understanding Euler-type integrals and their role in high-energy physics. This event builds on the successful tradition of the MathemAmplitudes conferences, previously held in Padova (2019 and 2023), and brings experts from mathematics and theoretical physics to explore new synergies between algebraic and geometric tools along with advanced computer algebra and the study of Feynman integrals and scattering amplitudes.

Contact @ MITP: Barbara Behrend
    • 09:30 10:45
      Morning Session: Session-1
      • 09:30
        Introduction and Welcome 30m
      • 10:00
        Talk 45m
        Speaker: Bernd Sturmfels
    • 10:45 11:15
      Coffe-Break 30m
    • 11:15 12:30
      Morning Session: Session-2
      • 11:15
        Talk 45m
        Speaker: Paul-Hermann Balduf
      • 12:00
        Talk 30m
        Speaker: Giacomo Brunello (Università degli Studi di Padova & IPhT-CEA/ Universitè Paris-Saclay & INFN-PD)
    • 12:30 14:30
      Lunch 2h
    • 14:30 15:45
      Afternoon Session: Session-1
      • 14:30
        Talk 30m
        Speaker: Anaelle Pfister
      • 15:00
        Talk 45m
        Speaker: Ruth Britto
    • 15:45 16:15
      Coffe-Break 30m
    • 16:15 17:00
      Afternoon Session: Session-2
      • 16:15
        Talk 45m
        Speaker: Hjalte Frellesvig
    • 10:00 10:45
      Morning Session: Session-1
      • 10:00
        Talk 45m
        Speaker: Saiei Matsubara-Heo
    • 10:45 11:15
      Coffe-Break 30m
    • 11:15 12:30
      Morning Session: Session-2
      • 11:15
        Talk 45m
        Speaker: Stefano Laporta
      • 12:00
        Talk 30m
        Speaker: Roberta Angius
    • 12:30 14:30
      Lunch 2h
    • 14:30 15:45
      Afternoon Session: Session-1
      • 14:30
        Talk 30m
        Speaker: Seva Chestnov
      • 15:00
        Talk 45m
        Speaker: Veronica Fantini
    • 15:45 16:15
      Coffe-Break 30m
    • 16:15 17:00
      Afternoon Session: Session-2
      • 16:15
        Talk 45m
        Speaker: Giulio Crisanti
    • 10:00 10:45
      Morning Session: Session-1
      • 10:00
        Talk 45m
        Speaker: Simon Telen
    • 10:45 11:15
      Coffe-Break 30m
    • 11:15 12:30
      Morning Session: Session-2
      • 11:15
        Talk 45m
        Speaker: Wojciech Fleiger
      • 12:00
        Talk 30m
        Speaker: Gaia Fontana
    • 12:30 14:30
      Lunch 2h
    • 14:30 15:45
      Free Session
    • 15:45 16:15
      Coffe-Break 30m
    • 10:00 10:45
      Morning Session: Session-1
      • 10:00
        Talk 45m
        Speaker: Pierre Lairez
    • 10:45 11:15
      Coffe-Break 30m
    • 11:15 12:30
      Morning Session: Session-2
      • 11:15
        Talk 45m
        Speaker: Sergio Cacciatori
      • 12:00
        Talk 30m
        Speaker: Nicolas Weiss
    • 12:30 14:30
      Lunch 2h
    • 14:30 15:45
      Afternoon Session: Session-1
      • 14:30
        Talk 30m
        Speaker: Rourou Ma
      • 15:00
        Talk 45m
        Speaker: Tiziano Peraro
    • 15:45 16:15
      Coffe-Break 30m
    • 16:15 17:00
      Afternoon Session: Session-2
      • 16:15
        Talk 45m
        Speaker: Eric Pichon-Pharabod
    • 09:30 10:45
      Morning Session: Session-1
      • 09:30
        Talk 30m
        Speaker: Maria Polackova
      • 10:00
        Talk 45m
        Speaker: Erik Panzer
    • 10:45 11:15
      Coffe-Break 30m
    • 11:15 12:30
      Morning Session: Session-2
      • 11:15
        Talk 45m
        Speaker: Ben Page
      • 12:00
        Talk 30m
        Speaker: Cathrin Semper
    • 12:30 14:30
      Lunch 2h
    • 14:30 15:45
      Free Session
    • 15:45 16:15
      Coffe-Break 30m