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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 Melbourne
​Universitat Autònoma de Barcelona
Université Sorbonne Paris Nord
Organizing committee
​Universitat Autònoma de Barcelona
​Universitat de Barcelona
​Universitat de Barcelona
​Universitat Politècnica de Catalunya
​University of Melbourne
​Universitat de Barcelona
​Universitat Autònoma de Barcelona
​University of Leicester
Université Sorbonne Paris Nord
Main activities of the program 

Opening Workshop: February 1st to 5th, 2021

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

Derived Geometry​: May 24th to 28th, 2021 (coordinator: David Gepner) 

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

Visiting researchers​

MathieuAnelCarnegie Mellon University
ClarkBarwickUniversity of Edinburgh
MichaelBataninMacquarie University01/03/202130/04/2021
JulieBergnerUniversity of Virginia24/05/202110/07/2021
PedroBoavidaUniversidade de Lisboa
CarlesBrotoUniversitat Autònoma de Barcelona
UrtziBuijsUniversidad de Málaga05/04/202105/05/2021
DamienCalaqueUniversité de Montpellier
RicardoCamposUniversité de Montpellier
CarlesCasacubertaUniversitat de Barcelona11/01/202110/07/2021
DavidChataurUniversité de Lille
JoanaCiriciUniversitat de Barcelona
VladimirDotsenkoUniversité de Strasbourg11/04/202111/05/2021
ImmaGálvezUniversitat Politècnica de Catalunya
DavidGepnerUniversity of Melbourne
Javier J.GutiérrezUniversitat de Barcelona
OwenGwilliamUniversity of Massachusetts
ChristianHaesemeyerUniversity of Melbourne
RuneHaugsengNorwegian University of Science and Technology
KathrynHessÉcole Polytechnique Fédérale de Lausanne
GijsHeutsUniversiteit Utrecht
GeoffroyHorelUniversité Paris 13
AndréJoyalUQAM, Montréal
JoachimKockUniversitat Autònoma de Barcelona11/01/202110/07/2021
MurielLivernetUniversité Paris Diderot-Paris 7
MartinMarklThe Czech Academy of Sciences01/02/202116/04/2021
LennartMeierUniversiteit Utrecht
IekeMoerdijkUniversiteit Utrecht
José ManuelMorenoTrinity College Dublin
FernandoMuroUniversidad de Sevilla
ViktoriyaOzornovaRuhr-Universität Bochum
BirgitRichterUniversität Hamburg
EmilyRiehlJohns Hopkins University31/05/202127/06/2021
MarcyRobertsonUniversity of Melbourne
MartinaRovelliAustralian National University
PaoloSalvatoreUniversity of Roma Tor Vergata
ClaudiaScheimbauerTechnische Universität München
SarahScherotzkeUniversité du Luxembourg
HiroTanakaTexas Christian University
BertrandToënUniversité Toulouse
AndrewTonksUniversity of Leicester
BrunoValletteUniversité Sorbonne Paris Nord
MahmoudZeinalianCity University of New York

Further information 

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