Posted in
Speaker:
Akhil Mathew
Zugehörigkeit:
University of California, Berkeley
Datum:
Don, 19/03/2015 - 15:00 - 16:00
Location:
MPIM Lecture Hall
Parent event:
MPI-Oberseminar To a "stable homotopy theory," we naturally associate a
category of finite etale algebra objects and, using Grothendieck's
categorical machine, a profinite group that we call the Galois group.
The Galois group contains a purely algebraic piece coming from the
classical theory, but in general there is an additional (topological)
component. This was first observed by Rognes in the case of periodic
real K-theory.
We calculate the Galois groups in several examples. For instance, we
show that the Galois group of the periodic E_\infty-algebra of
topological modular forms is trivial and that the Galois group of
K(n)-local stable homotopy theory is an extended version of the Morava
stabilizer group. We also describe the Galois group of the stable
module category of a finite group, using a new technique of
"S
1-descent.”© MPI f. Mathematik, Bonn | Impressum & Datenschutz |