Chromatic homotopy theory information

mathematics, chromatic homotopy theory is a subfield of stable homotopy theory that studies complex-oriented cohomology theories from the "chromatic" point...

theories simple homotopy theory stable homotopy theory chromatic homotopy theory rational homotopy theory p-adic homotopy theory equivariant homotopy...

In mathematics, stable homotopy theory is the part of homotopy theory (and thus algebraic topology) concerned with all structure and phenomena that remain...

topology, rational homotopy theory is a simplified version of homotopy theory for topological spaces, in which all torsion in the homotopy groups is ignored...

Maria Pogonowska. Schlank is primarily known for his work on chromatic homotopy theory. Together with Robert Burklund, Jeremy Hahn, and Ishan Levy, he...

{\displaystyle S_{(p)}} . Chromatic homotopy theory Adams-Novikov spectral sequence Framed cobordism Adams, J. Frank (1974), Stable homotopy and generalised homology...

Ravenel calculates the Morava K-theories of several spaces and proves important theorems in chromatic homotopy theory together with Hopkins. He was also...

which is in turn used for calculating the stable homotopy groups of spheres. Chromatic homotopy theory Adams-Novikov spectral sequence p-local spectrum...

In the mathematical field of algebraic topology, the homotopy groups of spheres describe how spheres of various dimensions can wrap around each other....

Abstract homotopy theory and motivic homotopy theory are also outside the scope. Glossary of category theory covers (or will cover) concepts in theory of model...

specifically in chromatic homotopy theory, the redshift conjecture states, roughly, that algebraic K-theory K ( R ) {\displaystyle K(R)} has chromatic level one...

{M}}_{\text{FG}}} . It is a "geometric “object" that underlies the chromatic approach to the stable homotopy theory, a branch of algebraic topology. Currently, it is not...

classical, motivic and equivariant homotopy groups of spheres, with connections and applications to chromatic homotopy theory and geometric topology. His research...

topological modular forms. Chromatic homotopy theory Goerss, Paul. "Realizing families of Landweber exact homology theories" (PDF). Hovey, Mark; Strickland...

Combinatorial Theory, Series B. 92 (2): 325–357. doi:10.1016/j.jctb.2004.08.001. Lovász, László (1978). "Kneser's conjecture, chromatic number, and homotopy". Journal...

In homotopy theory, a branch of algebraic topology, a Postnikov system (or Postnikov tower) is a way of decomposing a topological space's homotopy groups...

Telescope conjecture: the last of Ravenel's conjectures in stable homotopy theory to be resolved. Unknotting problem: can unknots be recognized in polynomial...

and an essential component in the construction of Morava E-theory in chromatic homotopy theory. Witt vector Artin–Hasse exponential Group functor Addition...

1/30144. Mathew, Akhil; Meier, Lennart (2013). "Affineness and chromatic homotopy theory". Journal of Topology. 8 (2): 476–528. arXiv:1311.0514. doi:10...

}^{pre}(X)} as the homotopy limit of this presheaf over the previous site. Spectral algebraic geometry Intermediate Jacobian Chromatic homotopy theory Goerss, Paul...

AMS 2002 Absence of Maps Between p-local and q-local spectra Bousfield localization in nlab. J. Lurie, Lecture 20 in Chromatic Homotopy Theory (252x)....

algebraic stacks over the fpqc topology still has its use, such as in chromatic homotopy theory. This is because the Moduli stack of formal group laws M f g {\displaystyle...

Lovász, László (1978), "Kneser's conjecture, chromatic number, and homotopy", Journal of Combinatorial Theory, Series A, 25 (3): 319–324, doi:10.1016/0097-3165(78)90022-5...