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CRM > English > Activities > Curs 2020-2021 > IRP Higher Homotopical Structures
IRP Higher Homotopical Structures

January 11th to July 10th, 2021 


General information 

Homotopical and higher-categorical methods are becoming increasingly important in areas such as geometry, topology, algebra, mathematical physics, and lately also logic and computer science. The insight can be summarized in realizing that many deep problems in these areas and elsewhere are homotopical in nature, and that native homotopical tools are necessary for a natural treatment of them as well as for obtaining viable solutions that can serve as a basis for further developments.
The present program aims at gathering experts from these areas in order to foster new lines of research and stimulate young researchers. Among the big challenges which will be addressed are: development of higher-categorical tools for theory and computations in algebraic K-theory and related theories, including topological cyclic homology and topological Hochschild homology; factorization homology and graph homology; higher Segal spaces; presentability and accessibility; explicit descriptions of fully extended topological field theories; applications of Goodwillie calculus; deformation theory; derived geometry.

​Universitat de Barcelona
David Gepner ​
University of Illinois at Chicago
​Universitat Autònoma de Barcelona - CRM
Université Sorbonne Paris Nord
Organizing committee
​Universitat Autònoma de Barcelona - CRM
​Universitat de Barcelona
​Universitat de Barcelona
​Universitat Politècnica de Catalunya
​University of Illinois at Chicago
​Universitat de Barcelona
​Universitat Autònoma de Barcelona - CRM
​University of Leicester
Université Sorbonne Paris Nord
Main activities of the program 

Opening Workshop​: February 1st to 5th, 2021 (coordinators: Imma Gálvez Carrillo and Andy Tonks)

Higher Structures and Operadic Calculus: April 12th to 16th, 2021 (coordinator: Bruno Vallette) 

Derived Geometry​: June 7th to 11th, 2021 (coordinators: David Gepner and Joachim Kock) 

Barcelona Conference on Higher Structures: June 14th to 18th, 2021 (organised in partnership with the Clay Mathematics Institute)​

Higher Representation Theory: first half of July 2021 (coordinator: Carles Broto)



The CIMPA-CRM programme​ aims to fund the participation of young mathematicians from developing countries to the activities of Intensive Research Programmes at the CRM in Barcelona.

Young scientists (master's students soon looking for a PhD, PhD students, postdocs) meeting those criteria and interested in the topics are much encouraged to apply for support to participate from May 17th to July 10th in the Intensive Research Programme on Higher Homotopical Structures.

The laureates of the CIMPA-CRM program will receive financial support including:
  • - Roundtrip travel between their home country and Barcelona (including visa fees).
  • - Accommodation in Barcelona.
  • - Per diem allowance of 600 €/month, for 2 months.

  • If the program is hybrid or online, laureates who cannot come to Barcelona will be able to follow it remotely. In this case, CIMPA will contribute to the purchase of equipment that will allow them to participate to the program in good conditions.
Candidates have to apply on the following web page:

Applications must be submitted by February 15th, 2021.

Visiting researchers​

FernandoAbellán Universität Hamburg31/05/202104/06/2021
MathieuAnelCarnegie Mellon University23/05/202119/06/2021
DavidAyalaMontana State University01/05/202115/06/2021
ClarkBarwickUniversity of Edinburgh
MichaelBataninMacquarie University01/02/202130/04/2021
ClemensBergerUniversité de Nice Sophia Antipolis09/04/202109/05/2021
AlexanderBerglundStockholm University11/04/202117/04/2021
JulieBergnerUniversity of Virginia24/05/202110/07/2021
GeorgBiedermannUniversidad del Norte
PedroBoavidaUniversidade de Lisboa
CarlesBrotoUniversitat Autònoma de Barcelona - CRM
UrtziBuijsUniversidad de Málaga05/04/202105/05/2021
DamienCalaqueUniversité de Montpellier
RicardoCamposUniversité de Montpellier11/04/202117/04/2021
RicardoCamposUniversité de Montpellier06/06/202119/06/2021
CarlesCasacubertaUniversitat de Barcelona11/01/202110/07/2021
DavidChataurUniversité de Lille
JoanaCiriciUniversitat de Barcelona
VladimirDotsenkoUniversité de Strasbourg11/04/202111/05/2021
DanielaEgasÉcole Polytechnique Fédérale de Lausanne
ImmaGálvezUniversitat Politècnica de Catalunya
DavidGepnerUniversity of Illinois at Chicago
JesperGrodalUniversity of Copenhagen
Javier J.GutiérrezUniversitat de Barcelona
OwenGwilliamUniversity of Massachusetts01/06/202130/06/2021
RuneHaugsengNorwegian University of Science and Technology11/01/202110/07/2021
KathrynHessÉcole Polytechnique Fédérale de Lausanne
GijsHeutsUniversiteit Utrecht
VladimirHinichUniversity of Haifa01/05/202131/05/2021
GeoffroyHorelUniversité Paris 1311/01/202124/01/2021
GeoffroyHorelUniversité Paris 1312/04/202125/04/2021
AndréJoyalUQAM, Montréal22/05/202120/06/2021
RalphKaufmannPurdue University13/04/202114/05/2021
JoachimKockUniversitat Autònoma de Barcelona - CRM11/01/202110/07/2021
MurielLivernetUniversité Paris Diderot-Paris 717/05/202118/06/2021
MartinMarklThe Czech Academy of Sciences01/02/202116/04/2021
LennartMeierUniversiteit Utrecht10/03/202110/04/2021
IekeMoerdijkUniversiteit Utrecht
José ManuelMorenoTrinity College Dublin11/04/202117/04/2021
FernandoMuroUniversidad de Sevilla
ThomasNikolausUniversität Münster10/06/202121/06/2021
ViktoriyaOzornovaRuhr-Universität Bochum10/03/202110/04/2021
EmilyRiehlJohns Hopkins University31/05/202127/06/2021
MarcyRobertsonUniversity of Melbourne
MartinaRovelliAustralian National University26/05/202126/06/2021
PaoloSalvatoreUniversity of Roma Tor Vergata
ClaudiaScheimbauerTechnische Universität München
SarahScherotzkeUniversité du Luxembourg
HiroTanakaTexas State University23/05/202130/06/2021
BertrandToënUniversité Toulouse31/05/202118/06/2021
AndrewTonksUniversity of Leicester11/01/202110/07/2021
BrunoValletteUniversité Sorbonne Paris Nord
SarahWhitehouseUniversity of Sheffield17/05/202121/05/2021
MahmoudZeinalianCity University of New York

Further information 

For inquiries about the program please contact the research programs coordinator Ms. Núria Hernández at​