Motivic generalized cohomology theories from framed perspective

Abstract: All motivic generalized cohomology theories acquire unique structure of so called framed transfers. If one takes framed transfers into account, it turns out that many interesting cohomology theories can be constructed simply as suspension spectra on certain moduli stacks (and their variations). This way important cohomology theories on schemes get new geometric interpretations, and so do canonical maps between different cohomology theories. In the talk we will explain the general formalism of framed transfers and show how it works for various cohomology theories. This is a summary of joint projects with Tom Bachmann, Elden Elmanto, Marc Hoyois, Joachim Jelisiejew, Adeel Khan, Denis Nardin and Vladimir Sosnilo.

algebraic geometryalgebraic topology

Audience: researchers in the topic

MoVid-20

Series comments: Description: A one day conference on motivic homotopy theory

In order to register for the conference, please send an email to Denis Nardin (denis DOT nardin AT ur DOT de) with subject "MoVid-20"