nLab
Lectures on Equivariant Stable Homotopy Theory
Contents
Context
Stable Homotopy theory
Representation theory
representation theory
geometric representation theory
Ingredients
representation, 2-representation, ∞-representation
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group, ∞-group
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group algebra, algebraic group, Lie algebra
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vector space, n-vector space
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affine space, symplectic vector space
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action, ∞-action
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module, equivariant object
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bimodule, Morita equivalence
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induced representation, Frobenius reciprocity
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Hilbert space, Banach space, Fourier transform, functional analysis
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orbit, coadjoint orbit, Killing form
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unitary representation
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geometric quantization, coherent state
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socle, quiver
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module algebra, comodule algebra, Hopf action, measuring
Geometric representation theory
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D-module, perverse sheaf,
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Grothendieck group, lambda-ring, symmetric function, formal group
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principal bundle, torsor, vector bundle, Atiyah Lie algebroid
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geometric function theory, groupoidification
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Eilenberg-Moore category, algebra over an operad, actegory, crossed module
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reconstruction theorems
This page collects material related to
on equivariant stable homotopy theory modeled on orthogonal spectra.
See also
Contents
under construction
1. Orthogonal spectra
2. Equivariant orthogonal spectra
3. Equivariant homotopy groups
4. Wirthmüller isomorphism and transfers
5. Constructions with equivariant spectra
6. The tom Dieck splitting
7. Fixed points and geometric fixed points
8. Power constructions
9. Norm construction
10. Norm map
Last revised on February 4, 2016 at 09:58:17.
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