Towards a motivic (homotopy) theory without A¹-invariance

Algebro-Geometric and Homotopical Methods

13 April 11:00 - 12:00

Federico Binda - Universität Regensburg

Motivic homotopy theory as conceived by Morel and Voevodsky is based on the crucial observation that the affine line A¹ plays in algebraic geometry the role of the unit interval in algebraic topology. Following the work of Kahn-Saito-Yamazaki, we constructed an unstable motivic homotopy category "with modulus", where the affine line is no longer contractible. In the talk, we will sketch this construction and we will explain why this category can be seen as a candidate environment for studying representability problems for non A¹-invariant generalized cohomology theories.
Eric M. Friedlander
University of Southern California
Lars Hesselholt
University of Copenhagen
Paul Arne Østvaer
University of Oslo


Paul Arne Østvaer


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