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Motivic Hopf equations

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.


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


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


Bachmann, Tom
Banerjee, Anandam
Bruner, Robert
Dubouloz, Adrien
Garkusha, Grigory
Hesselholt, Lars
Horel, Geoffroy
Kahn, Adeel
Matthew, Akhil
Nikolaus, Thomas
Panin, Ivan
Park, Doosung
Roendigs, Oliver
Strunk, Florian

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Published Feb. 10, 2016 1:21 PM - Last modified Jan. 22, 2018 1:58 PM