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
    • Morning Session: Session-1
      • 1
        Introduction and Welcome
      • 2
        Talk
        Speaker: Bernd Sturmfels
    • 10:45
      Coffe-Break
    • Morning Session: Session-2
      • 3
        Talk
        Speaker: Paul-Hermann Balduf
      • 4
        Talk
        Speaker: Giacomo Brunello (Università degli Studi di Padova & IPhT-CEA/ Universitè Paris-Saclay & INFN-PD)
    • 12:30
      Lunch
    • Afternoon Session: Session-1
      • 5
        Talk
        Speaker: Anaelle Pfister
      • 6
        Talk
        Speaker: Ruth Britto
    • 15:45
      Coffe-Break
    • Afternoon Session: Session-2
      • 7
        Talk
        Speaker: Hjalte Frellesvig
    • Morning Session: Session-1
      • 8
        Talk
        Speaker: Saiei Matsubara-Heo
    • 10:45
      Coffe-Break
    • Morning Session: Session-2
      • 9
        Talk
        Speaker: Stefano Laporta
      • 10
        Talk
        Speaker: Roberta Angius
    • 12:30
      Lunch
    • Afternoon Session: Session-1
      • 11
        Talk
        Speaker: Seva Chestnov
      • 12
        Talk
        Speaker: Veronica Fantini
    • 15:45
      Coffe-Break
    • Afternoon Session: Session-2
      • 13
        Talk
        Speaker: Giulio Crisanti
    • Morning Session: Session-1
      • 14
        Talk
        Speaker: Simon Telen
    • 10:45
      Coffe-Break
    • Morning Session: Session-2
      • 15
        Talk
        Speaker: Wojciech Fleiger
      • 16
        Talk
        Speaker: Gaia Fontana
    • 12:30
      Lunch
    • Free Session
    • 15:45
      Coffe-Break
    • Morning Session: Session-1
      • 17
        Talk
        Speaker: Pierre Lairez
    • 10:45
      Coffe-Break
    • Morning Session: Session-2
      • 18
        Talk
        Speaker: Sergio Cacciatori
      • 19
        Talk
        Speaker: Nicolas Weiss
    • 12:30
      Lunch
    • Afternoon Session: Session-1
      • 20
        Talk
        Speaker: Rourou Ma
      • 21
        Talk
        Speaker: Tiziano Peraro
    • 15:45
      Coffe-Break
    • Afternoon Session: Session-2
      • 22
        Talk
        Speaker: Eric Pichon-Pharabod
    • Morning Session: Session-1
      • 23
        Talk
        Speaker: Maria Polackova
      • 24
        Talk
        Speaker: Erik Panzer
    • 10:45
      Coffe-Break
    • Morning Session: Session-2
      • 25
        Talk
        Speaker: Ben Page
      • 26
        Talk
        Speaker: Cathrin Semper
    • 12:30
      Lunch
    • Free Session
    • 15:45
      Coffe-Break