Homotopy harnessing higher structures

Programme theme

The last fifteen years have seen an upheaval in algebraic topology. Old problems have been solved using new methods, new methods led to new ideas, new ideas to new problems, and new problems to new theorems. The result has been a renaissance.

In retrospect, we can see that this fundamental change occurred as the mathematicians in the field confronted and solved an array of related problems. These included the task of making sense of Witten's insights on the elliptic genus, of finding a provable formulation of Mumford's conjecture, the related development of topological field theories, attempts to make rigorous Morava's program using the geometry of formal algebraic groups to organize stable homotopy theory, and the solution of the Kervaire invariant problem and subsequent reintegration of equivariant homotopy theory. In each case, there was enormous progress after the introduction and the study of higher homotopical structure.

This programme will highlight four related themes: the new algebraic topology of differentiable manifolds, derived representation theory and equivariant homotopy theory, the interplay between arithmetic geometry and stable homotopy theory, and the analysis of foundations in these new contexts "the homotopy theory of homotopy theory". The four areas are bound together by the use of higher structures, but they do have slightly different characters: some study objects, others are an analysis of methods. This interplay is intentional: objects inspire methods and methods make objects accessible. The intent is to develop the community of scholars from these diverse, but overlapping, areas of algebraic topology, both through a programme of long-term visitors and a sequence of workshops, one each for the various themes.

The Institute kindly requests that any papers published as a result of this programme’s activities are credited as such. Please acknowledge the support of the Institute in your paper using the following text:

The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Homotopy harnessing higher structures, where work on this paper was undertaken. This work was supported by EPSRC grant EP/R014604/1.

Click here to download the programme's final scientific report

HHH programme: interview with organisers P Goerss, J Greenlees, S Schwede, U Tillmann

Preprints

Title	Year	Programme	Publication Date
Constructing the determinant sphere using a Tate twist Authors: Tobias Barthel, Agnès Beaudry, Paul Goerss, Vesna Stojanoska Download PDF	2018	HHH	21 October 2022

Title

Year

Programme

Publication Date

Constructing the determinant sphere using a Tate twist

Authors: Tobias Barthel, Agnès Beaudry, Paul Goerss, Vesna Stojanoska

Download PDF

2018

HHH

21 October 2022

Workshops

HHHW01

Seminars

Tuesday 10th July 2018
14:00 to 15:00	Ben Knudsen Harvard University Connectivity and growth in the homology of graph braid groups	Room 2
15:30 to 16:30	Tyler Lawson University of Minnesota Stable power operations	Room 2

Thursday 12th July 2018
15:30 to 15:45	Paul Goerss Northwestern University Approaches to chromatic splitting	Room 2
15:45 to 16:00	John Greenlees University of Sheffield Sheaves over an elliptic curve and U(1)-spectra'	Room 2
16:00 to 16:15	Lennart Meier Rheinische Friedrich-Wilhelms-Universität Bonn Splittings of tmf_1(n)	Room 2
16:15 to 16:30	Stefan Schwede Rheinische Friedrich-Wilhelms-Universität Bonn Categories and orbispaces	Room 2

Tuesday 17th July 2018
14:00 to 15:00	Julie Bergner University of Virginia The Waldhausen S-construction as an equivalence of homotopy theories	Room 2
15:30 to 16:30	Bjorn Ian Dundas NTNU The Geometric Diagonal	Room 2

Thursday 19th July 2018
15:30 to 15:45	Jesper Grodal Københavns Universitet (University of Copenhagen) Have you seen this homology class??	Room 2
15:45 to 16:00	Kathryn Lesh Union College Labeled complexes and homological stability	Room 2
16:00 to 16:15	Michael Mandell Indiana University 1.3 Thoughts on N∞ Ring Spectra	Room 2
16:15 to 16:30	Brooke Shipley University of Illinois at Chicago Commuting homology and homotopy inverse limits	Room 2

Tuesday 24th July 2018
14:00 to 15:00	Thomas Schick Georg-August-Universität Göttingen Geometric models of twisted K-homology	Room 2
15:30 to 16:30	Clark Barwick University of Edinburgh Exodromy	Room 2

Thursday 26th July 2018
15:30 to 15:45	Tobias Barthel Københavns Universitet (University of Copenhagen) HHH Gong Show - On beyond Chouinard	Room 2
15:45 to 16:00	Irina Bobkova University of Rochester HHH Gong Show - Small Picard groups	Room 2
16:00 to 16:15	Fabian Hebestreit University of Bonn HHH Gong Show - Algebraic cobordism categories	Room 2
16:15 to 16:30	Tomer Schlank Hebrew University of Jerusalem HHH Gong Show - Non-commutative rational spectra and marked configuration spaces	Room 2

Tuesday 31st July 2018
14:00 to 15:00	Clemens Berger Université de Nice Derived modular envelopes and moduli spaces of bordered Riemann surfaces	Room 2
15:30 to 16:30	Gregory Arone Stockholm University Tree complexes and obstructions to embeddings.	Room 2

Thursday 2nd August 2018
15:30 to 15:45	Agnes Beaudry University of Colorado Linearize this!	Room 2
15:45 to 16:00	Joshua Hunt University of Copenhagen Lifting endotrivial modules	Room 2
16:00 to 16:15	Magdalena Kedziorek EPFL - Ecole Polytechnique Fédérale de Lausanne Galois extensions, a fairy tale	Room 2
16:15 to 16:30	Vesna Stojanoska University of Illinois at Urbana-Champaign Dreamy Pics	Room 2

Tuesday 7th August 2018
14:00 to 15:00	Oscar Randal-Williams University of Cambridge Cellular E_k-algebras and homological stability	Room 2
15:30 to 16:30	Nick Kuhn University of Virginia A tutorial on constructions of finite complexes with specified cohomology (after Steve Mitchell and Jeff Smith)	Room 2

Thursday 9th August 2018
15:30 to 15:45	Agnes Beaudry University of Colorado Linearize this!	Room 2
15:45 to 16:00	Hans-Werner Henn Unexpected and confusing Pics	Room 2
16:00 to 16:15	Gijs Heuts University of Copenhagen A Whitehead theorem for periodic homotopy groups?	Room 2
16:15 to 16:30	Dylan Wilson University of Chicago Koszul to keep cool	Room 2

Friday 10th August 2018
14:00 to 15:00	Markus Land Universität Regensburg On the K-theory of pullbacks	Room 2

Friday 17th August 2018
13:15 to 14:15	Lifting G-stable endotrivial modules	Room 2

Tuesday 21st August 2018
14:00 to 15:00	Wolfgang Steimle Universität Augsburg An Additivity Theorem for cobordism categories, with applications to Hermitian K-theory	Room 2
15:30 to 16:30	Fabian Hebestreit University of Bonn Parametrised homotopy theory via symmetric retractive spectra	Room 2

Thursday 23rd August 2018
15:30 to 15:45	Steffen Sagave Radboud Universiteit Nijmegen Commutative cochains	Room 2
15:45 to 16:00	Marc Levine Universität Duisburg-Essen T for (SL) two	Room 2
16:00 to 16:15	Tobias Lenz Rheinische Friedrich-Wilhelms-Universität Bonn; Max-Planck-Institut für Mathematik, Bonn Homotopy (Pre-)Derivators of Cofibration Categories and Quasi-Categories	Room 2
16:15 to 16:30	Inbar Klang Stanford University Homology vs cohomology	Room 2

Tuesday 28th August 2018
15:30 to 16:30	Lior Yanovski Hebrew University of Jerusalem Ambidexterity in the T(n)-Local Stable Homotopy Theory	Room 2

Thursday 30th August 2018
15:30 to 15:45	David Barnes Queen's University Belfast Equivariant sheaves aren't always Weyl	Room 2
15:45 to 16:00	Anna Marie Bohmann Vanderbilt University Multiplication, not multifarious	Room 2
16:00 to 16:15	Tyler Lawson University of Minnesota Unit groups are confusing	Room 2
16:15 to 16:30	Markus Szymik Universität Bielefeld Quo whatis quandles?	Room 2

Tuesday 11th September 2018
14:00 to 15:00	Robert Bruner Wayne State University; Universitetet i Oslo The mod 2 Adams spectral sequence for tmf_*	Room 2
15:30 to 16:30	Irakli Patchkoria University of Bonn Polynomial maps, Witt vectors and Real THH	Room 2

Thursday 13th September 2018
15:30 to 15:45	Andrew (Andy) Baker University of Glasgow BG_2 vs the Joker	Room 2
15:45 to 16:00	Michael Joachim Universität Münster On twisted spin-c bordism and twisted K-theory	Room 2
16:00 to 16:15	Viktoriya Ozornova University of Bonn Case of Identity	Room 2
16:15 to 16:30	Mingcong Zeng University of Rochester RO(G)-coefficient ring of constant Mackey functor via duality	Room 2

Tuesday 18th September 2018
14:00 to 15:00	Christian Schlichtkrull Universitetet i Bergen Topological Hochschild homology via generalized Thom spectra	Room 2
15:30 to 16:30	Nathalie Wahl Københavns Universitet (University of Copenhagen) Slopes in homological stability, the classical way	Room 2

Thursday 20th September 2018
15:30 to 15:45	Lars Hesselholt Acclarogen Limited K-theory of division algebras over local fields	Room 2
15:45 to 16:00	Viet-Cuong PHAM University of Strasbourg Brown-Comenetz dual of some K(2)-local spectrum	Room 2
16:00 to 16:15	Constanze Roitzheim University of Kent Twisted, not bitter	Room 2
16:15 to 16:30	Hiro Tanaka Harvard University MorseTheory(On.Point) vs (MorseTheory.On)Point	Room 2

Tuesday 2nd October 2018
14:00 to 15:00	Scott Balchin University of Warwick Adelic models for Noetherian model categories (joint work with John Greenlees)	Room 2
15:30 to 16:30	Jesper Grodal Københavns Universitet (University of Copenhagen) The Picard group of the stable module category	Room 2

Thursday 4th October 2018
15:30 to 15:45	George Raptis Universität Regensburg Transfer maps in A-theory	Room 2
15:45 to 16:00	Doug Ravenel University of Rochester The first English group theorist	Room 2
16:00 to 16:15	Birgit Richter Universität Hamburg Higher THH of Z/p^m with reduced coefficients	Room 2
16:15 to 16:30	Stefan Schwede Rheinische Friedrich-Wilhelms-Universität Bonn Proper, equivariant, and stable!	Room 2

Monday 8th October 2018
16:00 to 17:00	Lars Hesselholt Nagoya University; University of Copenhagen Rothschild Lecture: Higher algebra and arithmetic - Monday 8th October 2018	Room 1

Tuesday 9th October 2018
14:00 to 15:00	Michael Ching None / Other Tangent ∞-categories and Goodwillie calculus	Room 2
15:30 to 16:30	Benjamin Böhme University of Copenhagen Equivariant multiplications and idempotent splittings of > G-spectra	Room 2

Thursday 11th October 2018
15:30 to 15:45	Agnes Beaudry University of Colorado Determining the determinant sphere	Room 2
15:45 to 16:00	Julie Bergner University of Virginia To complete or make discrete? That is the question.	Room 2
16:00 to 16:15	Paolo Salvatore Università degli Studi di Roma Tor Vergata (Non)-formality of little discs spaces and operads	Room 2
16:15 to 16:30	Ulrike Tillmann University of Oxford Infinite loop space machines and TQFTs	Room 2

Monday 15th October 2018
14:00 to 15:00	Doug Ravenel University of Rochester Orthogonal G-Spectra I	Room 2

Tuesday 16th October 2018
13:45 to 14:45	Lennart Meier Rheinische Friedrich-Wilhelms-Universität Bonn Real homotopy theory	Room 2
15:15 to 16:15	Robert Oliver Université Paris 13 TBA	Room 2

Wednesday 17th October 2018
14:00 to 15:00	Doug Ravenel University of Rochester Orthogonal G-Spectra II	Room 2

Thursday 18th October 2018
15:30 to 15:45	Peter Haine Massachusetts Institute of Technology Constructible étale sheaves and analytic sheaves	Room 2
15:45 to 16:00	Ieke Moerdijk Universiteit Utrecht The 10 minute shuffle	Room 2
16:00 to 16:15	Sam Nariman Northwestern University Thurston's fragmentation and non-abelian Poincare duality	Room 2
16:15 to 16:30	Vesna Stojanoska University of Illinois at Urbana-Champaign The Tate sphere and duality	Room 2

Tuesday 23rd October 2018
14:00 to 15:00	Hans-Werner Henn The exotic part of the Picard group of K(2)-local spectra at the prime 2	Room 2
15:30 to 16:30	Lars Hesselholt Nagoya University; University of Copenhagen K-theory of cusps	Room 2

Thursday 25th October 2018
15:30 to 15:45	Clemens Berger Université de Nice Dold-Kan correspondences and involutive factorisation systems	Room 2
15:45 to 16:00	Paul Goerss Northwestern University What does it mean to be continuous?	Room 2
16:00 to 16:15	Fabian Hebestreit University of Bonn Homotopy Cobordism Categories	Room 2
16:15 to 16:30	Oscar Randal-Williams University of Cambridge On the Cayley--Hamilton Theorem	Room 2

Tuesday 30th October 2018
14:00 to 15:00	Hiro Tanaka Harvard University The stack "Broken" and associative algebras	Room 2
15:30 to 16:30	George Raptis Universität Regensburg Devissage theorems in algebraic K-theory	Room 2

Thursday 1st November 2018
15:30 to 15:45	Tobias Barthel Københavns Universitet (University of Copenhagen) Spooky cats	Room 2
15:45 to 16:00	Anna Marie Bohmann Vanderbilt University On the existence of ghosts	Room 2
16:00 to 16:15	John Greenlees University of Sheffield Two skeletons in a cellular cupboard	Room 2
16:15 to 16:30	Constanze Roitzheim University of Kent Franke's Scary Models	Room 2

Tuesday 6th November 2018
14:00 to 15:00	Carlos Broto Universitat Autònoma de Barcelona Homotopy fixed points by finite p-group actions on classifying spaces of fusion systems	Room 2
15:30 to 16:30	Kathryn Hess EPFL - Ecole Polytechnique Fédérale de Lausanne An introduction to topological coHochschild homology	Room 2

Thursday 8th November 2018
15:30 to 15:45	Andrew Baker University of Glasgow Orientations old and new	Room 2
15:45 to 16:00	Magdalena Kedziorek Universiteit Utrecht Surprise!	Room 2
16:00 to 16:15	Markus Szymik Universität Bielefeld Adams before Adnams	Room 2
16:15 to 16:30	Sarah Whitehouse University of Sheffield E_r model structures	Room 2

Monday 12th November 2018
14:00 to 15:00	Doug Ravenel University of Rochester Outlining the Proof of the Kervaire Invariant Theorem	Room 2

Tuesday 13th November 2018
14:00 to 15:00	Tobias Barthel Københavns Universitet (University of Copenhagen) Stratifying categories of representations.	Room 2
15:30 to 16:30	Anna Marie Bohmann Vanderbilt University Tools for understanding topological coHochschild homology	Room 2

Thursday 15th November 2018
15:30 to 15:45	Scott Balchin University of Warwick Grout (or the story of how my coauthor stopped me from naming things)	Room 2
15:45 to 16:00	Michael Ching None / Other What is a pro-operad?	Room 2
16:00 to 16:15	Manuel Krannich University of Cambridge A Hermitian K-group via geometry	Room 2
16:15 to 16:30	Mingcong Zeng University of Rochester Slice Differentials	Room 2

Monday 19th November 2018
14:00 to 15:00	Doug Ravenel University of Rochester The Kervaire invariant problem at odd primes	Room 2

Tuesday 20th November 2018
14:00 to 15:00	George Raptis Universität Regensburg Devissage theorems in algebraic K-theory	Room 2
15:30 to 16:30	Markus Szymik Universität Bielefeld Symmetry groups of algebraic structures and their homology	Room 2

Thursday 22nd November 2018
15:30 to 15:45	Alexander Berglund Stockholm University Rational models for automorphisms of fiber bundles	Room 2
15:45 to 16:00	Jesper Grodal Københavns Universitet (University of Copenhagen) Savour thy units! (or why the p-adics sometimes beats the integers)	Room 2
16:00 to 16:15	Michael Joachim Universität Münster On the Gromov-Lawson-Rosenberg Conjecture	Room 2
16:15 to 16:30	Doug Ravenel University of Rochester The Pontrjagin twist	Room 2

Monday 26th November 2018
14:00 to 15:00	Doug Ravenel University of Rochester The slice filtration and slice spectral sequence	Room 2

Tuesday 27th November 2018
14:00 to 15:00	Claudia Scheimbauer Max-Planck-Institut für Mathematik, Bonn Constructing extended AKSZ topological field theories in derived symplectic geometry	Room 2
15:30 to 16:30	David Ayala Montana State University Orthogonal group and adjoints	Room 2

Thursday 29th November 2018
15:30 to 15:45	Christian Ausoni University Paris 13 On a Greenlees spectral sequence	Room 2
15:45 to 16:00	Rachael Boyd Norwegian University of Science and Technology Homological stability for Artin monoids	Room 2
16:00 to 16:15	Federico Cantero Morán Universitat de Barcelona Spaces of merging submanifold	Room 2
16:15 to 16:30	Christian Schlichtkrull Universitetet i Bergen Higher monoidal monomorphisms	Room 2

Friday 30th November 2018
14:00 to 15:00	Doug Ravenel University of Rochester More about the slice filtration and slice spectral sequence	Room 2

Tuesday 11th December 2018
14:00 to 15:00	Ieke Moerdijk Universiteit Utrecht; University of Sheffield Dendroidal spaces and mapping spaces between little cubes operads.	Room 2
15:30 to 16:30	Paolo Salvatore Università degli Studi di Roma Tor Vergata Wonderful Fulton-MacPherson operads	Room 2

Thursday 13th December 2018
15:30 to 15:45	Clark Barwick University of Edinburgh The line isn’t contractible	Room 2
15:45 to 16:00	Daniela Egas Santander EPFL - Ecole Polytechnique Fédérale de Lausanne Wandering down the path to path homology	Room 2
16:00 to 16:15	Gijs Heuts University of Copenhagen Whitehead products in v_n-periodic homotopy groups	Room 2
16:15 to 16:30	Martin Palmer-Anghel University of Bonn Homological stability for moduli spaces of disconnected submanifolds	Room 2

Tuesday 18th December 2018
14:00 to 15:00	Boris Botvinnik University of Oregon Positive scalar curvature metrics on manifolds with fibred singularities	Room 2
15:30 to 16:30	Birgit Richter Technische Universität Hamburg-Harburg Spaces and cochains -- yet another approach	Room 2

Thursday 20th December 2018
15:30 to 15:45	Robert Bruner Wayne State University; Universitetet i Oslo Gröbner bases	Room 2
15:45 to 16:00	Sam Nariman Northwestern University Vanishing or non-vanishing of kappa_2	Room 2
16:00 to 16:15	Nathalie Wahl University of Copenhagen Pushing around, trying to stay normal and positive	Room 2
16:15 to 16:30	Anna Marie Bohmann Vanderbilt University Here Happily Have we assembled	Room 2

Organisers

Paul Goerss Northwestern University
John Greenlees University of Sheffield
Stefan Schwede Rheinische Friedrich-Wilhelms-Universität Bonn
Ulrike Tillmann University of Oxford

Speakers

Gregory Arone Stockholm University
Christian Ausoni University Paris 13
David Ayala Montana State University
Andrew (Andy) Baker University of Glasgow
Scott Balchin University of Warwick
David Barnes Queen's University Belfast
Tobias Barthel Københavns Universitet (University of Copenhagen)
Clark Barwick University of Edinburgh
Agnes Beaudry University of Colorado
Clemens Berger Université de Nice
Alexander Berglund Stockholm University
Julie Bergner University of Virginia
Irina Bobkova University of Rochester
Anna Marie Bohmann Vanderbilt University
Boris Botvinnik University of Oregon
Rachael Boyd Norwegian University of Science and Technology
Carlos Broto Universitat Autònoma de Barcelona
Robert Bruner Wayne State University; Universitetet i Oslo
Benjamin Böhme University of Copenhagen
Federico Cantero Morán Universitat de Barcelona
Michael Ching None / Other
Bjorn Ian Dundas NTNU
Daniela Egas Santander EPFL - Ecole Polytechnique Fédérale de Lausanne
Paul Goerss Northwestern University
John Greenlees University of Sheffield
Jesper Grodal Københavns Universitet (University of Copenhagen)
Peter Haine Massachusetts Institute of Technology
Fabian Hebestreit University of Bonn
Hans-Werner Henn
Kathryn Hess
Lars Hesselholt Nagoya University; University of Copenhagen
Gijs Heuts University of Copenhagen
Joshua Hunt University of Copenhagen
Michael Joachim Universität Münster
Magdalena Kedziorek Universiteit Utrecht
Inbar Klang Stanford University
Ben Knudsen Harvard University
Manuel Krannich University of Cambridge
Nick Kuhn University of Virginia
Markus Land Universität Regensburg
Tyler Lawson University of Minnesota
Tobias Lenz Rheinische Friedrich-Wilhelms-Universität Bonn; Max-Planck-Institut für Mathematik, Bonn
Kathryn Lesh Union College
Marc Levine Universität Duisburg-Essen
Michael Mandell Indiana University
Lennart Meier Rheinische Friedrich-Wilhelms-Universität Bonn
Ieke Moerdijk Universiteit Utrecht; University of Sheffield
Sam Nariman Northwestern University
Robert Oliver Université Paris 13
Viktoriya Ozornova University of Bonn
Martin Palmer-Anghel University of Bonn
Irakli Patchkoria University of Bonn
Viet-Cuong PHAM University of Strasbourg
Oscar Randal-Williams University of Cambridge
George Raptis Universität Regensburg
Doug Ravenel University of Rochester
Birgit Richter Technische Universität Hamburg-Harburg
Constanze Roitzheim University of Kent
Steffen Sagave Radboud Universiteit Nijmegen
Paolo Salvatore Università degli Studi di Roma Tor Vergata
Claudia Scheimbauer Norwegian University of Science and Technology
Thomas Schick Georg-August-Universität Göttingen
Tomer Schlank Hebrew University of Jerusalem
Christian Schlichtkrull Universitetet i Bergen
Stefan Schwede Rheinische Friedrich-Wilhelms-Universität Bonn
Brooke Shipley University of Illinois at Chicago
Wolfgang Steimle Universität Augsburg
Vesna Stojanoska University of Illinois at Urbana-Champaign
Markus Szymik Universität Bielefeld
Hiro Tanaka Harvard University
Ulrike Tillmann University of Oxford
Nathalie Wahl University of Copenhagen
Sarah Whitehouse University of Sheffield
Dylan Wilson University of Chicago
Lior Yanovski Hebrew University of Jerusalem
Mingcong Zeng University of Rochester

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Participants

Alejandro Adem University of British Columbia
Gregory Arone Stockholm University
Christian Ausoni University Paris 13
David Ayala Montana State University
Andrew (Andy) Baker University of Glasgow
Scott Balchin University of Warwick
David Barnes Queen's University Belfast
Tobias Barthel Københavns Universitet (University of Copenhagen)
Maria Basterra University of New Hampshire
Agnes Beaudry University of Colorado
Mark Behrens University of Chicago
Clemens Berger Université de Nice
Alexander Berglund Stockholm University
Julie Bergner University of Virginia
Andrew Blumberg University of Texas at Austin
Irina Bobkova University of Rochester
Anna Marie Bohmann Vanderbilt University
Boris Botvinnik University of Oregon
Rachael Boyd Norwegian University of Science and Technology
Carlos Broto Universitat Autònoma de Barcelona
Robert Bruner Wayne State University; Universitetet i Oslo
Carl-Friedrich Bödigheimer University of Bonn
Federico Cantero Morán Universitat de Barcelona
Natalia Castellana Universitat Autònoma de Barcelona
Michael Ching None / Other
Diarmuid Crowley University of Melbourne
Jennifer Druhan University of Illinois at Urbana-Champaign
Bjorn Ian Dundas NTNU
Daniela Egas Santander EPFL - Ecole Polytechnique Fédérale de Lausanne
David Gepner Purdue University
Teena Gerhardt Michigan State University
Paul Goerss Northwestern University
John Greenlees University of Sheffield
Jesper Grodal Københavns Universitet (University of Copenhagen)
Bert Guillou University of Kentucky
Peter Haine Massachusetts Institute of Technology
Rune Haugseng Københavns Universitet (University of Copenhagen)
Markus Hausmann Københavns Universitet (University of Copenhagen)
Fabian Hebestreit University of Bonn
Hans-Werner Henn
Kathryn Hess
Lars Hesselholt Nagoya University; University of Copenhagen
Gijs Heuts University of Copenhagen
Marc Hoyois Massachusetts Institute of Technology
Joshua Hunt University of Copenhagen
Daniel Isaksen Wayne State University
Michael Joachim Universität Münster
Magdalena Kedziorek Universiteit Utrecht
Nitu Kitchloo Johns Hopkins University
Inbar Klang Stanford University
Ben Knudsen Harvard University
Dimitar Kodjabachev University of Sheffield
Manuel Krannich University of Cambridge
Nick Kuhn University of Virginia
Tyler Lawson University of Minnesota
Tobias Lenz Rheinische Friedrich-Wilhelms-Universität Bonn; Max-Planck-Institut für Mathematik, Bonn
Kathryn Lesh Union College
Marc Levine Universität Duisburg-Essen
Michael Mandell Indiana University
Lennart Meier Rheinische Friedrich-Wilhelms-Universität Bonn
Mona Merling Johns Hopkins University
Ieke Moerdijk Universiteit Utrecht; University of Sheffield
Sam Nariman Northwestern University
Niko Naumann Universität Regensburg
Thomas Nikolaus Universität Münster
Joost Nuiten Universiteit Utrecht
Robert Oliver Université Paris 13
Kyle Ormsby Reed College
Viktoriya Ozornova University of Bonn
Martin Palmer-Anghel University of Bonn
Irakli Patchkoria University of Bonn
Ulrich Pennig Cardiff University
Viet-Cuong PHAM University of Strasbourg
Oscar Randal-Williams University of Cambridge
George Raptis Universität Regensburg
Doug Ravenel University of Rochester
Nigel Ray University of Manchester
Raphael Reinauer Universität Münster
Birgit Richter Technische Universität Hamburg-Harburg
Nicolas Ricka Wayne State University
Emily Riehl Johns Hopkins University
John Rognes University of Oslo
Constanze Roitzheim University of Kent
Steffen Sagave Radboud Universiteit Nijmegen
Paolo Salvatore Università degli Studi di Roma Tor Vergata
Claudia Scheimbauer Norwegian University of Science and Technology
Thomas Schick Georg-August-Universität Göttingen
Tomer Schlank Hebrew University of Jerusalem
Christian Schlichtkrull Universitetet i Bergen
Christopher Schommer-Pries University of Notre Dame
Stefan Schwede Rheinische Friedrich-Wilhelms-Universität Bonn
Brooke Shipley University of Illinois at Chicago
Wolfgang Steimle Universität Augsburg
Vesna Stojanoska University of Illinois at Urbana-Champaign
Markus Szymik Universität Bielefeld
Hiro Tanaka Harvard University
Ulrike Tillmann University of Oxford
Paul André Dillon Trygsland Norwegian University of Science and Technology
Ismar Volić Wellesley College
Nathalie Wahl University of Copenhagen
Michael Weiss Universität Münster
Sarah Whitehouse University of Sheffield
Kirsten Wickelgren Georgia Institute of Technology
Dylan Wilson University of Chicago
Sarah Yeakel University of Maryland, College Park
Mingcong Zeng University of Rochester

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Programme theme

HHH programme: interview with organisers P Goerss, J Greenlees, S Schwede, U Tillmann

Preprints

Constructing the determinant sphere using a Tate twist

Workshops

Higher structures in homotopy theory

Equivariant and motivic homotopy theory

Derived algebraic geometry and chromatic homotopy theory

Manifolds

A panorama of homotopy theory

HHH follow on: Homotopy: fruit of the fertile furrow

Seminars

Organisers

Speakers

Participants

Supported By

Homotopy harnessing higher structures

Programme theme

HHH programme: interview with organisers P Goerss, J Greenlees, S Schwede, U Tillmann

Preprints

Constructing the determinant sphere using a Tate twist

Workshops

Higher structures in homotopy theory

Equivariant and motivic homotopy theory

Derived algebraic geometry and chromatic homotopy theory

Manifolds

A panorama of homotopy theory

HHH follow on: Homotopy: fruit of the fertile furrow

Seminars

Organisers

Speakers

Participants

Supported By

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