IRP on Higher Homotopical Structures
AND OPERADIC CALCULUS
WORKSHOP: Higher Structures and Operadic Calculus (IRP Higher Homotopical Structures)
to April 16, 2021
Introduction
Since their introduction 50 years ago, the notions of infinity-algebras (Stasheff), operads (May), model categories (Quillen), and higher categories (Boardman-Vogt) gave rise to powerful tools which made possible the resolution of open problems and prompted revolutions in many domains like algebraic topology (rational homotopy theory, faithful algebraic invariants of the homotopy type of spaces), deformation theory (formality theorems, formal moduli problems), and mathematical physics (quantisation of Poisson manifolds, quantum field theories), to name but a few. This theory of higher structures using operadic calculus is currently under rapid development and there is a need today to provide the community with a modern state of the art; this is the main goal of the present workshop, which will be accessible to a wide audience.
Workshop’s information
- Rational homotopy theory, Lie/L-infinity-models, Koszul duality, Maurer-Cartan spaces.
- Configuration spaces, holonomy algebras, connections, associators, operads in groupoids, (prounipotent) Grothendieck-Teichmüller group.
- Deformation theory, Maurer-Cartan elements, integration theory (gauge group, pre-Lie calculus, infinity-groupoids), formal moduli spaces.
- Infinity-operads, formality theorems, Hodge theory (purity).
- (Infinity-)modular operads, moduli spaces of curves, (profinite) Grothendieck-Teichmüller group.
Further information
For inquiries please contact the Coordinator
Coordinator
| Bruno Vallette | Université Sorbonne Paris Nord |
Speakers
| Alexander BERGLUND | Stockholm University |
| Damien CALAQUE | Université de Montpellier |
| Ricardo CAMPOS | CNRS, Université de Montpellier |
| Geoffroy HOREL | Université Sorbonne Paris Nord |
| Marcy ROBERTSON | University of Melbourne |
Schedule (tentative)
Click to open
MONDAYApril 12, 2021 |
TUESDAYApril 13, 2021 |
WEDNESDAYApril 14, 2021 |
THURSDAYApril 15, 2021 |
FRIDAYApril 16, 2021 |
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09:00 – 10:30 |
Talk | Talk | Talk | Talk | Talk |
10:30 – 11:00 |
COFFEE BREAK | ||||
11:00 – 12:30 |
Talk | Talk | Talk | Talk | Talk |
12:30 – 14:30 |
LUNCH | ||||
14:30 – 16:00 |
Talk | Talk | Talk | Talk | Talk |
16:00 – 16:30 |
COFFEE BREAK | ||||
16:30 – 18:00 |
Discussion/ Exercises |
Discussion/ Exercises |
Discussion/ Exercises |
Discussion/ Exercises |
Discussion/ Exercises |
List of participants
Click to open list
| Ángel Javier Alonso Hernández | Universidad Autónoma de Madrid |
| Xerxes Arsiwalla | Universitat Pompeu Fabra |
| Matija Bašic | University of Zagreb |
| Luciana Basualdo Bonatto | University of Oxford |
| Joan Bellier-Millès | Paul Sabatier University – Toulouse III |
| Carles Broto | Universitat Autònoma de Barcelona – CRM |
| Federico Cantero Morán | Universidad Autónoma de Madrid |
| Carles Casacuberta | Universitat de Barcelona |
| Anish Chedalavada | Anish Chedalavada |
| Joana Cirici | Universitat de Barcelona |
| Emprin Coline | École normale supérieure – Paris |
| David Corwin | University of California at Berkeley |
| Pierre-Louis Curien | Paris Diderot University – Paris 7 |
| Sophie d’Espalungue | University Lille 1: Sciences and Technologies |
| Wilson Javier Forero Baquero | Universitat Autònoma de Barcelona |
| Imma Gálvez Carrillo | Universitat Politècnica de Catalunya |
| David Gepner | University of Illinois at Chicago |
| Andrey Glubokov | Not provided |
| Tao Gong | Beijing Normal University |
| Albin Grataloup | University of Montpellier |
| Peiqi Gu | Beijing Normal University |
| Javier J. Gutiérrez | Universitat de Barcelona |
| Joachim Kock | Universitat Autònoma de Barcelona – CRM |
| Julien Korinman | Waseda University |
| Manuel Krannich | University of Cambridge |
| Guillaume Laplante-Anfossi | Guillaume Laplante-Anfossi |
| Sylvain Lavau | Saint Petersburg State University |
| Samuel Lavenir | Swiss Federal Institute of Technology in Lausanne |
| Yingxin Li | Beijing Normal University |
| Yifan Li | Not provided |
| Maxime Lucas | University of Paris 13 |
| Roy Magen | Columbia University |
| Udit Mavinkurve | Western University (The University of Western Ontario) |
| Thibaut Mazuir | Thibaut Mazuir |
| Silvère Nédélec | Federal University of Rio Grande do Sul |
| Jovana Obradovic | Akademie ved Ceské republiky |
| Santiago Pineda Montoya | Not provided |
| Amoolya Prasad | University of Manchester |
| Qingrui Qu | Beijing Normal University |
| Daniel Robert-Nicoud | Daniel Robert-Nicoud |
| Chris Rogers | Chris Rogers |
| Agustí Roig | Universitat Politècnica de Catalunya |
| Yangyang Ruan | Beijing Normal University |
| Pedro Tamaroff | Trinity College Dublin |
| Andrew Tonks | London Metropolitan University |
| Bruno Vallette | Université Sorbonne Paris Nord |
| Yannic Vargas | Instituto Venezolano de Investigaciones Científicas |
| Ran Wang | Beijing Normal University |
| Ben Ward | Bowling Green State University |
| Runlei Xiao | Université de Nice Sophia Antipolis |
| Xu-an Zhao | Beijing Normal University |
| Pál Zsámboki | Alfréd Rényi Institute of Mathematics |
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* Last updated on February 15th |
Grants
Applications for financial support to participate in the program can be submitted to the organizers using the following online form:
The EMS offers travel grants to young mathematicians from less-favoured regions within the geographical area of EMS membership for presenting results at conferences or attending courses, or for research stays in foreign countries, normally up to a maximum of 900 euros in each case or 500 euros for trips within Europe. Eligible researchers should use this online form in order to apply for travel grants.
Lodging information
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For inquiries about the activity please contact the research programs coordinator Ms. Núria Hernández at nhernandez@crm.cat
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