Algebraic Structures in Perturbative Quantum Field Theory

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Due to the evolution of the health situation related to the Coronavirus epidemic, the conference will finally be totally on line. The Zoom link will be sent in the confirmation mail.

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Algebraic Structures in Perturbative Quantum Field Theory
A conference in honour of Dirk Kreimer’s 60th birthday

On the occasion of Dirk Kreimer’s birthday, there will be a special issue of SIGMA on « Algebraic Structures in Perturbative Quantum Field Theory ».

Perturbative quantum field theory is essential for precision calculations of observables measured in experiments like the LHC, and therefore it is crucial for our understanding of the physics of the universe. At the same time, it is an extremely rich source of connections to a wide range of active research areas in mathematics. For example, Feynman integrals give rise to interesting motives and periods in algebraic geometry, their renormalization rests on combinatorial Hopf algebras underlying Feynman graphs, and further relations to noncommutative geometry and the moduli space of tropical curves and outer space have also been discovered.

This growing program keeps expanding in both breadth and depth, and exciting young researchers are entering the field. Now is an opportune time to bring together scientists working on all related aspects, to review old and new connections and to advance the state of the art. Lectures by established scientists will be accompanied by talks from young researchers, including a session dedicated to present and discuss open problems.

Close collaborations between mathematicians and physicists have been absolutely key for this kind of research, and many were initiated by Dirk Kreimer. Throughout his career, he made substantial contributions across these topics and led students and collaborators to the profound mathematical structures in perturbative quantum field theory that we are aware of today. Dirk Kreimer spent a particularly productive time at the IHES, and it is an honour that this workshop takes place in its inspiring and interdisciplinary environment.

Organisers: Erik PANZER (University of Oxford) & Karen YEATS (University of Waterloo)

Invited speakers include:

Ali Assem Mahmoud, University of Waterloo
Marc Bellon, LPTHE (Sorbonne Université)
Marko Berghoff, Humboldt-Universität
Spencer Bloch, University of Chicago
Johannes Blümlein, DESY Zeuthen
Michael Borinsky, Nikhef
David Broadhurst, The Open University
Francis Brown, University of Oxford
Yvain Bruned, University of Edinburgh
Alain Connes, IHES & Collège de France
Andrei Davydychev, Moscow State University
Gérald Dunne, University of Connecticut
Kurusch Ebrahimi-Fard, NTNU Trondheim
Loïc Foissy, Université du Littoral Côte d’Opale
Hadleigh Frost, University of Oxford
John Gracey, University of Liverpool
Martin Hairer, Imperial College London
Ralph Kaufmann, Purdue University
Thomas Krajewski, CPT Aix-Marseille
Dominique Manchon, CNRS & Université Clermont-Auvergne
Lukas NABERGALL, University of Waterloo
Sylvie Paycha, Institut für Mathematik Potsdam
Oliver Schnetz, FAU Erlangen-Nürnberg
Christian Schubert, Universidad Michoacana de San Nicolas de Hidalgo
Matt Szczesny, Boston University
Walter van Suijlekom, Radboud Universiteit Nijmegen
Karen Vogtmann, University of Warwick
Raimar Wulkenhaar, Westfälische Wilhelms-Universität Münster

 

Organized with the support of: