The meeting which aims at offering a place to create new as well as enhance already existing interactions between different aspects of renormalisation in mathematics and physics, comprises
with talks by Y. Bruned (U. Edinburgh), A. Cattaneo (ETH Zürich), A. Chandra (Imperial College London), K. Fredenhagen (U. Hamburg), D. Kreimer (Humboldt U., Bverlin) and R. Wulkenhaar (U. Münster) among many other speakers.
Titles and abstracts collection of the online-workshop (pdf)
Slides of the talks of the online workshop:
Monday, October 12, 2020
Loic Foissy, Klaus Fredenhagen, Dirk Kreimer, Leila Schneps, Bruno Vallette, Lorenzo Zambotti
Tuesday, October 13, 2020
Joscha Diehl, Li Guo, Franz Lehner, Dominique Manchon, Kasia Rejzner, Vincent Rivasseau, Alexander Schmeding
Wednesday, October 14, 2020
Marc Bellon, Damien Calaque, Gerald Dunne, Claudia Malvenuto, Enrico Russo, Raimar Wulkenhaar
Thursday, October 15, 2020
Ismael Bailleul, Yvain Bruned, Ajay Chandra, Alessandra Frabetti, Antoine Mouzard, Nikolas Tapia
Friday, October 16, 2020
Beatrice de Tiliere, Nicolas Gilliers, Antti Kupiainen, Viet Dank Nguyen, Josef Teichmann, Yannic Vargas, Michal Wrochna
Update:
The Research Workshop will take place online (zoom meeting) October 12th to October 16th 2020 due to Covid-19.
After the online-meeting 12-16 October 2020, we plan to organize a follow-up Master class (Research school)
"Higher Structures Emerging from Renormalisation"
8-19 November 2021, ESI, Vienna
Introductory lectures of this Master class will be the following:
Ilya Chevyrev (Univ. of Oxford)
Hopf and pre-Lie algebras in regularity structures
Abstract: This mini-course will focus on the algebraic aspects of regularity structures. I will motivate the Hopf algebra appearing in "positive renormalisation" using polynomials and canonical lifts of smooth functions. I will discuss its similarity to the Connes-Kreimer algebra and present a pre-Lie structure obtained from linearising the group product. I will then discuss "negative renormalisation" and the Hopf algebra of sub-forest extractions. Finally, I will show how the two Hopf algebras (co-)interact and discuss the role of pre-Lie algebras in renormalising stochastic PDEs.
Frédéric Patras (Univ. de Nice)
Renormalization à la Wick
Abstract : The mini-course will come back on a classical example of ``finite renormalization'': the theory of Wick polynomials, Wick products and chaos decompositions. The theory will be presented following a Hopf algebraic approach developed recently that parallels the now usual BWH decomposition in pQFT. Its extension to a noncommutative framework will also be explained as well as the connexion of the theory with other phenomena that received recently a renewed attention (quasi-shuffle products in algebra and probability, among others). The course will essentially be based on recent joint works with K. Ebrahimi-Fard, N. Tapia and L. Zambotti.
Kasia Rejzner (Univ. of York)
Renormalization in perturbative algebraic quantum field theory
Abstract: In this series of lectures I will introduce perturbative algebraic quantum field theory (pAQFT), which is a rigorous framework for constructing interacting QFT models. It uses a formulation of renormalization called Epstein-Glaser renormalization, where no "infinities" are needed and the computation of physical quantities proceeds through the process of extending certain distributions. I will also explain how to incorporate the homological framework of the BV (Batalin-Vilkovisky) formalism into pAQFT and if time permits I will discuss gauge theories.
Lorenzo Zambotti (Univ. Paris VII)
Analytic aspects of regularity structures
Abstract: In this mini-course I plan to introduce the main analytic tools of regularity structures. I’ll start from the Reconstruction Theorem and the Schauder estimates in the general setting of germs, and then I’ll explain the definitions of models and modelled distributions with the different operations acting on them. I’ll try to explain how regularity structures are, in multiple ways, a theory of Taylor expansions.
The content of this mini-course will be based on ongoing work with Francesco Caravenna.
Organizers
Name | Affiliation |
---|---|
Pierre Clavier | University of Upper Alsace |
Kurusch Ebrahimi-Fard | Norwegian University for Science and Technology |
Peter K. Friz | Technical University Berlin |
Harald Grosse | University of Vienna |
Dominique Manchon | Clerment Auvergne University |
Sylvie Paycha | University of Potsdam |
Sylke Pfeiffer | University of Potsdam |
Attendees
Name | Affiliation |
---|---|
Dorothea Bahns | University of Göttingen |
Ismaël Bailleul | Université de Rennes 1 |
Florian Bechtold | Sorbonne University |
Carlo Bellingeri | Technical University Berlin |
Marc Bellon | Sorbonne University |
Nils Berglund | University of Orléans |
Emilien Bodiot | Sorbonne University |
Olivier Bouillot | Gustave Eiffel University |
Youness Boutaib | RWTH Aachen |
Johannes Branahl | University of Münster |
Christian Brouder | Sorbonne University |
Yvain Bruned | University of Edinburgh |
Damien Calaque | University of Montpellier |
Diego de Jesus Caudillo Amador | Norwegian University for Science and Technology |
Adrián Celestino Rodriguez | Norwegian University for Science and Technology |
Ajay Chandra | Imperial College London |
Ilya Chevyrev | University of Edinburgh |
Antoine Dahlqvist | University of Sussex |
Viet Dang Nguyen | University of Lyon |
Claudio Dappiaggi | University of Pavia |
Nicolas Delporte | Université Paris-Saclay |
Beatrice de Tiliere | Université Paris-Dauphine |
Joscha Diehl | University of Greifswald |
Nicolò Drago | University of Würzburg |
Gerald Dunne | University of Connecticut |
Frederic Fauvet | University of Strasbourg |
Loic Foissy | University of Littoral Côte d’Opale |
Alessandra Frabetti | University of Lyon |
Klaus Fredenhagen | University of Hamburg |
Stefan Fredenhagen | University of Vienna |
Alfonso Garmendia | University of Potsdam |
Nicolas Gilliers | Norwegian University for Science and Technology |
L Glaser | University of Vienna |
Li Guo | Rutgers University |
Georges Habib | Lebanese University |
Mahdi J. Hasan Al-Kaabi | Mustansiriyah University |
Estanislao Herscovich | Université Grenoble Alpes |
Antoine Hocquet | Technical University Berlin |
Joachim Kock | University Autonoma de Barcelona |
Dirk Kreimer | Humboldt University |
Antti Kupiainen | University of Helsinki |
Franz Lehner | Technische Universität Graz |
Malte Leimbach | Freie Universität Berlin |
Fei Li | Peking University |
Ihsane Malass | University of Potsdam |
Claudia Malvenuto | Sapienza – Università di Roma |
Cecile Mammez | University of Lille |
Christoph Minz | University of York |
Antoine Mouzard | Université de Rennes 1 |
Mohamed Ouerfelli | Centre d'Energie Atomique Saclay |
Frederic Patras | Université Côte d'Azur |
Ludwig Rahm | Norwegian University for Science and Technology |
Kasia Rejzner | University of York |
Paolo Rinaldi | University of Pavia |
Vincent Rivasseau | Université Paris Sud |
Victor Roca Lucio | Université Sorbonne Paris Nord |
Claude Roger | University of Lyon |
Enrico Russo | Sorbonne University |
Alexander Schmeding | University of Bergen |
Leila Schneps | CNRS |
Harprit Singh | Imperial College London |
Thomas Strobl | University of Lyon |
Aniruddha Talele | Rutgers University |
Nikolas Tapia | Technical University Berlin |
Josef Teichmann | ETH Zürich |
Juraj Tekel | Comenius University |
Bruno Vallette | Sorbonne University |
Yannic Vargas | Technical University of Graz |
Xiaoyan Wang | Rutgers University |
Michał Wrochna | Cergy Paris Université |
Raimar Wulkenhaar | University of Münster |
Lorenzo Zambotti | Sorbonne University |
Bin Zhang | Sichuan University |