symmetric monoidal (∞,1)-category of spectra
∞-Lie theory (higher geometry)
Let be a perfect field and fix a prime number .
Write for the ring of Witt vectors and
for the ring of formal power series over this ring, in variables; called the Lubin-Tate ring.
There is a canonical morphism
whose kernel is the maximal ideal
This induces (…) for every formal group over a deformation over . This is the Lubin-Tate formal group.
The Lubin-Tate theorem asserts that the Lubin-Tate formal group is the universal deformation of . See at Lubin-Tate theorem.
The Lubin-Tate formal group is Landweber exact and hence induces a complex oriented cohomology theory. This is Morava E-theory, see there for more details.
For a general review see
For the role in chromatic homotopy theory see
Last revised on June 11, 2022 at 12:33:19. See the history of this page for a list of all contributions to it.