Moduli spaces of commutative ring spectra

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August undefined, 2024

WebIn the mathematical field of algebraic topology, a commutative ring spectrum, roughly equivalent to a -ring spectrum, is a commutative monoid in a good category of … 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 ...

Moduli Spaces of Commutative Ring Spectra - ResearchGate

WebModuli Spaces of Commutative Ring Spectra P. G. Goerss and M. J. Hopkins∗ Abstract Let E be a homotopy commutative ring spectrum, and suppose the ring of cooperations E ∗E … WebOne important aspect is the study of strict multiplicative structures on spectra and the development of obstruction theories to imposing strictly associative and commutative … ganley subaru bedford service

Moduli Spaces of Commutative Ring Spectra - CORE

Web23 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 … Web22 okt. 2014 · We 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 … Web30 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 … black led ceiling fan

Brauer groups and etale cohomology in derived algebraic …

Structured Ring Spectra - Cambridge Core

WebKeywords: Moduli spaces, ... Commutative monoid-like objects are E∞-ring spectra, or commutative S-algebras. We call the corresponding geometry brave new algebraic geometry, quoting the expression brave new algebra introduced by F. Waldhausen (for more details on the subject, see e.g. [Vo]). 5. 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 ... ganley subaru certified pre ownedWeb11 apr. 2024 · The moduli space M (Y + G (M, n)) is the full subgroupoid of S ≅ spanned by spaces of type Y + G (M, n). Our main result of this section, see Theorem 2.36 below, is an explicit description of the moduli space of Definition 2.28 in terms of Y, G and M. To prove it, we need an appropriate notion of an Eilenberg-MacLane space, given by the ... black led chip

"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 bipermutative categories. We define topological Hochschild homology, some of its variants, and topological Andre-Quillen homology. " - Moduli spaces of commutative ring spectra

Moduli spaces of commutative ring spectra

Web23 okt. 2009 · Moduli spaces of commutative ring spectra Cohomology theories for highly structured ring spectra Index Permutative categories as a model of connective stable homotopy Published online by Cambridge University Press: 23 October 2009 By A. D. Elmendorf and M. A. Mandell Edited by Andrew Baker and Birgit Richter Show author … Web23 nov. 2003 · We 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 …

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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 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 WebDevelops a theory of formal groups over commutative ring spectra and discusses various applications, like the construction of elliptic cohomology. Last update: April 2024 (added …

WebDerived 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 ... 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.

Webcategory of commutative algebras in S, the associated theories of geometric S-stacks (a geometric S-stack being an analog of Artin notion of algebraic stack in Algebraic …

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 … ganleys roscommonWeb27 okt. 2024 · This came from the study of derived moduli problem. Namely to parametrize the moduli, one first looks at some space of “cochains” which are candidates for structures to parametrize. then one cuts those which indeed satisfy the … black led channelWebMODULI SPACES OF COMMUTATIVE RING SPECTRA P. G. GOERSS AND M. J. HOPKINS Abstract. Let E be a homotopy commutative ring spectrum, and sup-pose … ganley subaru east inventoryWebproperty 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. black led channels with milk diffuserWeb18 nov. 2004 · Download Citation Moduli spaces of commutative ring spectra Within algebraic topology, the prominent role of multiplicative cohomology theories has led … black led colorWebTwo 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 … ganley syracuse ny obitWebWe investigate further algebro-geometric properties of commutative rings of partial differential operators, continuing our research started in previous articles. In particular, we start to explore the simplest and also certain known examples of quantum algebraicall ganley the hedgehog