Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Tobias Barthel
Affiliation:

Universität Kopenhagen
Date:

Tue, 2018-01-09 11:15 - 12:00 The stable homotopy groups of spheres can be thought of as a derived analogue of the integers, and

they encode deep information about algebraic and differential topology as well as arithmetic geometry.

Chromatic homotopy theory reveals this hidden information and provides a systematic approach to

the computation of these groups.

After a quick survey of the chromatic perspective, we explain recent joint work with Schlank and

Stapleton which implies that the chromatic approach is asymptotically algebraic. Our work is based

on a categorical generalization of ideas from mathematical logic which should be of interest beyond the

applications to stable homotopy theory.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/3207