Moduli spaces of commutative ring spectra
Web11 apr. 2024 · We describe a homotopy-theoretic approach to the theory of moduli of realizations of Blanc-Dwyer-Goerss, reproducing their obstructions to realizing a… Webmutative ring spectrum is the sphere spectrum S, which is the initial commutativering spectrum, and hence plays the role of the integers Z in derived algebraic geometry. …
Moduli spaces of commutative ring spectra
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Webtopological modular forms. We also develop the analogous theory of Thom spectra and orientations for associative ring spectra. Our work is based on a new model of the Thom spectrum as a derived smash product. An earlier version of this paper was part of arXiv:0810.4535. Web6 okt. 2024 · We present two constructions that yield commutative ring spectra: Thom spectra associated to infinite loop maps and Segal's construction starting with …
WebA point worth reiterating is that the moduli problems here begin with algebra: we have a homology theory E ∗ and a commutative ring A in E∗E comodules and we wish to discuss the homotopy type of the space T M(A) of all E∞-ring spectra so that E∗X ∼ = A. Web23 okt. 2009 · The theories we aim to compare are. • topological André-Quillen homology. • Gamma homology. • stable homotopy of Γ-modules. • stable homotopy of algebraic theories. • the André-Quillen cohomology groups which arise as obstruction groups in the Goerss-Hopkins approach. As a comparison between stable homotopy of Γ-modules and stable ...
WebTwo examples of geometric S-stacks are given: a global moduli space of associative ring spectrum structures, and the stack of elliptic curves endowed with the sheaf of … Webproperty of spectral spaces—best described as the compactness of a new topology on the spectral space which is derived from the original topology. Again, the spectral spaces are precisely the projective limits of finite T0 spaces. Proving that these properties characterize the image of Spec involves constructing a large number of rings.
WebWe will formulate this as a moduli problem, and give a way -- suggested by work of Dwyer, Kan, and Stover -- of dissecting the resulting moduli space as a tower with layers …
WebThe first thing to know is that " E ∞ -ring" is actually short for " E ∞ -ring spectrum ". I'll assume you know what a spectrum is, but of course just say so if you don't. A ring spectrum is a (naive) spectrum X with a unit map S 0 → X and a multiplication map X ∧ X → X such that in the homotopy category, X has the structure of a ring ... heritage federal credit union newburgh inWebDerived symplectic structures and quantized moduli spaces. Who? ’pre-history’ {V. Drinfel’d, P. Deligne, M. Kontsevich, ... de ned as a derived moduli space modeled over commutative (a.k.a E 1) ring spectra. Realize C1-intersection theory without ... (k any commutative ring) di erential graded commutative k-algebras (chark = 0) DAG ... heritage federal credit union nyWeb30 mrt. 2024 · We characterize the relative prismatic cohomology of Bhatt and Scholze by a universal property by endowing it with the additional structure of a ``derived $\delta$-ring". This involves introducing an analogue of prismatic envelopes in the setting of filtered derived commutative rings and applying this construction to the Hodge filtration on infinitesimal … matt walsh dr phil full videoWebTwo examples of geometric S-stacks are given: a global moduli space of associative ring spectrum structures, and the stack of elliptic curves endowed with the sheaf of topological modular forms. Key words: Sheaves, stacks, ring spectra, elliptic cohomology. MSC-class: 55P43; 14A20; 18G55; 55U40; 18F10. Contents 1 Introduction 2 2 Brave new sites 5 matt walsh dr phil debateWeb23 okt. 2009 · Moduli spaces of commutative ring spectra; By P. G. Goerss, M. J. Hopkins; Edited by Andrew Baker, University of Glasgow, Birgit Richter, Rheinische … matt walsh dr phil appearanceWebhomotopy commutative ring spectrum. In particular, we get a functor Affet =X!Homotopy commutative ring spectra from the category of affine schemes étale over X to the category of homotopy com-mutative ring spectra and homotopy classes of maps between them. We refer to Lurie[19, Lecture 18]for the fundamentals of even periodic Landweber … matt walsh dr phil full showWebNormal bases are widely used in applications of Galois fields and Galois rings in areas such as coding, encryption symmetric algorithms (block cipher), signal processing, and so on. In this paper, we study the normal bases for Galois ring extension R / Z p r , where R = GR ( p r , n ) . We present a criterion on the normal basis for R / Z p r and reduce this problem to … heritage federal credit union new york