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Motivic Hopf equations (completed)

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About the project

Frontier research group project funded by the RCN. The principal aim of this funding scheme is to give dynamic research groups the opportunity to develop and become among the internationally leading in their field.

Principal investigator

Paul Arne Østvær


Our research aims at formulating and solving ground-breaking problems in motivic homotopy theory. As a relatively new field of research this subject has quickly turned into a well-established area of mathematics drawing inspiration from both algebra and topology. By leverage of modern topological methods, this offers powerful ways of studying algebro-geometric objects defined by polynomial equations.


Research council of Norway, Independent projects - project number 250399. Total budget approx 20,5 mill NOK.


Motivic Geometry; The Centre for Advanced Study (CAS) at the Norwegian Academy of Science and Letters, 2020/2021.

K-Theory, Algebraic Cycles and Motivic Homotopy Theory; Isaac Newton Institute for Mathematical Sciences, 2020.

K-theory and related fields, a Hausdorff trimester program at the Hausdorff research institute for mathematics. 8 May -- 31 August, 2017.

Algebro-geometric and homotopical methods at the Institute Mittag-Leffler. 16 January -- 30 April, 2017.


IHES Summer School, on Motivic, equivariant, and non-commutative homotopy theory. 6-17 July 2020.

Workshop on Algebraic Geometry and Homotopy Theory, October 3-4, 2019 - Radboud University Nijmengen.

School on Motives and Stacks, Essen, September 23 - 27, 2019.

Computations in motivic homotopy theory, hosted by the SFB 1085 Higher Invariants at the University of Regensburg, September 16th-20th, 2019.

Algebraic K-theory  at Mathematisches Forschungsinstitut Oberwolfach, 23 June - 29 June 2019

Algebro-Geometric and Homotopical Methods at Institut Mittag-Leffler, 06 May - 10 May 2019

New Trends in K-Theory and Homotopy Theory at Institut Henri Poincare, Paris. A conference in honor of Max Karoubi's 80th birthday. November 15th and 16th 2018.

Homotopy Theory and Arithmetic Geometry: Motivic and Diophantine Aspects at Imperial College London. A summer school of the London Mathematical Society and the Clay Mathematics Institute that is supported by the Heilbronn Institute of Mathematics Research. 9--13 July, 2018

Equivariant  homotopy theory and K-Theory at the Freie Universitaet Berlin. 18--22 June, 2018.

Motivic homotopy groups of spheres 3 at the Freie Universitaet Berlin. 25--29 June, 2018.

Motivic homotopy theory and refined enumerative geometry at the Universitaet Duisburg-Essen. 14--18 May, 2018.

Conference on Algebro-Geometric and Homotopical Methods at the Institute Mittag-Leffler. 13--17 March, 2017.

Seminars of the MHE project


Ananyevskiy, Alexey
Ayoub, Joseph
Bachmann, Tom
Baker, Andrew
Banerjee, Anandam
Bergh, Daniel
Bethea, Candace
Binda, Federico
Bruner, Robert
Burghardt, Viktor
Druzhinin, Andrei
Dubouloz, Adrien
Elmanto, Elden
Frankland, Martin
Garkusha, Grigory
Guozhen, Wang
Heller, Jeremiah
Hesselholt, Lars
Horel, Geoffroy
Kahn, Adeel
Kishimoto, Takashi
Kuku, Aderemi
Matthew, Akhil
Nikolaus, Thomas
Pal, Ambrus
Panin, Ivan
Park, Doosung
Quigley, J.D.
Röndigs, Oliver
Spitzweck, Markus
Stojanoska, Vesna
Strunk, Florian
Tanania, Fabio
Vishik, Alexander
Wendt, Matthias
Williams, Ben
Yagunov, Serge
Yakerson, Maria

Tags: Germany, India, Russia, USA
Published Feb. 10, 2016 1:21 PM - Last modified Dec. 17, 2021 11:01 AM