Complex-oriented cohomology theories and formal groups

Speaker:

Luuk Stehouwer

Affiliation:

MPIM

Date:

Tue, 13/12/2022 - 12:15 - 13:45

Location:

MPIM Lecture Hall [2]

Parent event:

IMPRS seminar on various topics: formal groups [3]

Hybrid. Contact: Christian Kaiser (kaiser@mpim-bonn.mpg.de)

After reviewing some basics about spectra, I will show how certain cohomology theories give rise to 1-dimensional formal group laws. This is the foundational idea of the mathematical field called chromatic homotopy theory. I will provide ordinary cohomology, K-theory and bordism as examples.