Fabio Tanania | Stable motivic homotopy groups of the isotropic sphere spectrum
Channel: EIMI, PDMI RAS and Chebyshev Laboratory
Date: 25/02/2021

Seminar on A1-topology, motives and K-theory, February 25, 2021
Fabio Tanania (LMU Munich)
Stable motivic homotopy groups of the isotropic sphere spectrum

In this talk, I will introduce the isotropic stable motivic homotopy category, constructed, following the work of Vishik on isotropic motives, by killing anisotropic varieties. Then, I will discuss the structure of the isotropic Steenrod algebra and properties of the isotropic Adams spectral sequence. At the end, I will present the computation of the stable motivic homotopy groups of the isotropic sphere spectrum. If time allows, I will also discuss some structural results about the category of isotropic cellular spectra.