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Results tagged with homotopy-theory
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Homotopy theory is an important sub-field of algebraic topology. It is mainly concerned with the properties and structures of spaces which are invariant under homotopy. Chief among these are the homotopy groups of spaces, specifically those of spheres. Homotopy theory includes a broad set of ideas and techniques, such as cohomology theories, spectra and stable homotopy theory, model categories, spectral sequences, and classifying spaces.
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Understanding the concept of homotopy fixed points
I apologize in advance if this question is too basic for this site, I tried to search online and through the literature for a few days with no success already.
I am trying to understand the concept of …
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Chromatic homotopy + algebraic geometry =?
In Homotopy Theory there is a famous theorem which shows that every cohomology theory satisfying a certain list of axioms is characterized by a formal group law, and that the spectrum associated to th …
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Tate cohomology as a derived functor
I am trying to understand in what sense Tate cohomology may be regarded as the co-fibre of the norm map, from the perspective of derived functors.
Say $G$ is a finite group and $M$ is a $G$-module ove …
- 2,907
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Homotopical interpretation of Langlands correspondence
Recently I began learning about homotopy theory, I am very far from being familiar with all the basic notions and constructions, however I heard of the notion of topological modular forms. I also hear …
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