Olivier Haution | Hyperbolic orientations and Pontryagin classes
Channel: EIMI, PDMI RAS and Chebyshev Laboratory
Date: 27/05/2022

Seminar on A1-topology, motives and K-theory, May 27, 2022
Olivier Haution (TU Munich)
Hyperbolic orientations and Pontryagin classes

I will discuss some aspects of eta-periodic stable motivic homotopy theory, obtained by inverting the motivic Hopf map eta. I will describe the classifying spaces of certain algebraic groups in this theory, and discuss various notions of orientation of ring spectra. I will in particular introduce the so-called hyperbolic orientations, which are intimately related to Pontryagin classes.