2 edition of **Equivariant Witt rings** found in the catalog.

Equivariant Witt rings

W. D. Neumann

- 194 Want to read
- 30 Currently reading

Published
**1977**
by [Mathematischen Institut der Universität Bonn?] in Bonn
.

Written in English

- Witt rings.,
- Representations of groups.

**Edition Notes**

Bibliography: p. 80-81.

Statement | W.D. Neumann. |

Series | Bonner mathematische Schriften ;, Nr. 100 |

Classifications | |
---|---|

LC Classifications | QA1 .B763 nr. 100, QA251.3 .B763 nr. 100 |

The Physical Object | |

Pagination | 81 p. ; |

Number of Pages | 81 |

ID Numbers | |

Open Library | OL2616329M |

LC Control Number | 85181317 |

An orthogonal ring spectrum Rconsists of the following data: a sequence of pointed spaces R nfor n 0 a base-point preserving continuous left action of the orthogonal group O(n) on R nfor each n 0 O(n) O(m)-equivariant multiplication maps n;m: R n^R m! R n+mfor n;m 0, and O(n)-equivariant unit maps n: Sn! R . xi V. Mauduit, Towards a Drinfeldian analogue of quadratic forms for poly- nomials. M. Mischler, Local densities and Jordan decomposition. V. Powers, Computational approaches to Hilbert’s theorem on ternary quartics. S. Pumpl˜un, The Witt ring of a Brauer-Severi variety. A. Queguiner, Discriminant and Cliﬁord algebras of an algebra with in- volution. U. Rehmann, A surprising fact.

Witt group, hermitian form, central simple algebra with involution, exact sequence of Witt groups, isotropy, equivariant Witt group, Morita equivalence. 3The authors gratefully acknowledge support from the RT Network ”K-theory, Linear Algebraic Groups and Related Structures” (contract HPRN-CT . This book is devoted to a study of the unit groups of orders in skew fields, finite dimensional and central over the rational field; it thereby belongs to the field of noncommutative arithmetic. Its purpose is a synopsis of results and methods, including full proofs of the most important results.

The book begins with a development of the equivariant algebraic topology of spaces culminating in a discussion of the Sullivan conjecture that emphasizes its relationship with classical Smith theory. It then introduces equivariant stable homotopy theory, the equivariant stable homotopy category, and the most important examples of equivariant. Additional Sources for Math Book Reviews; About MAA Reviews; Mathematical Communication; Information for Libraries; Author Resources; Advertise with MAA; Meetings. MAA MathFest. Register Now; Registration Rates and Other Fees; Exhibitors and Sponsors; Abstracts; Chronological Schedule; Mathematical Sessions. Invited Addresses; Invited Paper.

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Additional Physical Format: Online version: Neumann, W.D. (Walter David), Equivariant Witt rings. Bonn: [Mathematischen Institut der Universität Bonn?], 1. Introduction. This paper has two parts. Firstly, there is a quite formal part studying multiplicative transfers between zeroth homotopy groups of an E ∞ ring G-spectrum for a finite group ly, it contains an application of multiplicative transfers in equivariant cobordism to show that for every finite group, the ring of G-typical Witt vectors, in the sense of Dress and Siebeneicher Cited by: Examples include Burnside rings, representation rings, and homotopy groups of equivariant E-infinity ring spectra in stable homotopy theory.

Some other examples are related to Witt rings in the Author: Morten Brun. Download Citation | Witt vectors and equivariant ring spectra applied to cobordism | Given a finite group G we show that Dress and Siebeneicher's ring of G-typical Witt vectors on the Lazard ring Author: M.

Brun. This paper establishes a connection between equivariant ring spectra and Witt vectors in the sense of Dress and Siebeneicher. Given a commutative ringspectrum T in the highly structured sense, that is, an E-infinity-ringspectrum, with action of a finite group G we construct a ringhomomorphism from the Equivariant Witt rings book of G-typical Witt vectors of the zeroth homotopy group of T to the Cited by: 5.

CiteSeerX - Document Details (Isaac Councill, Equivariant Witt rings book Giles, Pradeep Teregowda): Abstract. This paper establishes a connection between equivariant ring spectra and Witt vectors in the sense of Dress and Siebeneicher.

Given a commutative ringspectrum T in the highly structured sense, that is, an E∞-ringspectrum, with action of a finite group G we construct a ringhomomorphism from the ring of G. WITT VECTORS AND EQUIVARIANT RING SPECTRA 5 (ii) Let ∇: X∐X →X denote the fold morphism of an object X of FG and let i: ∅→ X, considered as an object of UG +, is a semi-ring object with addition T∇, additive unit Ti, multiplication N∇ and multiplicative unit Ni.

(iii) If f: X →Y is a morphism in FG, then the morphisms Rf, Tf and Nf of UG + preserve the above structures. This paper establishes a connection between equivariant ring spectra and Witt vectors in the sense of Dress and Siebeneicher.

Given a commutative ringspectrum T in the highly structured sense, that is, an E-infinity-ringspectrum, with action of a finite group G we construct a ringhomomorphism from the ring of G-typical Witt vectors of the zeroth homotopy group of T to the zeroth homotopy group.

Abstract. This paper establishes a connection between equivariant ring spectra and Witt vectors in the sense of Dress and Siebeneicher. Given a commutative ringspectrum T in the highly structured sense, that is, an E-infinity-ringspectrum, with action of a finite group G we construct a ringhomomorphism from the ring of G-typical Witt vectors of the zeroth homotopy group of T to the zeroth.

Witt Vectors and Equivariant Ring Spectra, Morten Brun: Witt Vectors and Tambara functors, Papers and books of Peter May The Geometry of Iterated Loop Spaces, book retyped by Nicholas Hamblet, J.

May. First, by lifting it from the level of the G-representation ring R(G) to the level of the equivariant Witt ring W, (G; 7L). For a cyclic group of odd order, the torsion invariants of this lifting have been extensively studied in [1] (the rest is detected by the G-signature).

Let F denote a field of characteristic different from two. In this paper we describe the mod 2 cohomology of a Galois group G F (called the W-group of F) which is known to essentially characterize the Witt ring WF of anisotropic quadratic modules over show that H*(G F, F 2) contains the mod 2 Galois cohomology of F and that its structure will reflect important properties of the field.

Cite this chapter as: Kreck M. () Report about equivariant Witt groups. In: Bordism of Diffeomorphisms and Related Topics. Lecture Notes in Mathematics, vol THE PICARD GROUP OF EQUIVARIANT STABLE HOMOTOPY THEORY H. FAUSK, L.G. LEWIS, JR, AND J.P.

MAY Abstract. Let G be a compact Lie group. We describe the Picard group gory of k, and let GW(k) be the Grothendieck-Witt ring of k. There is a monomor-phism c: Pic(GW(k)) ¡. Pic(C). Po Hu [18] has constructed various elements in Pic(C).

Her examples. We define a Grothendieck ring of varieties with equivariant vector bundles and show that the generalized (‘motivic’) Euler characteristics of higher orders can be defined as homomorphisms from this ring to the Grothendieck ring of varieties extended by powers of the class of the complex affine line.

Report about equivariant Witt groups. Pages Kreck, Matthias. Preview. The isometric structure of a diffeomorphism. Ring structure, generators, relation to the inertia group. Pages Kreck, Matthias. Preview. Show next xx.

Read this book on SpringerLink Buy this book eB39 €. This book examines interactions of polyhedral discrete geometry and algebra. and their applications and connections. Papers cover topics such as K-theory of group rings, Witt groups of real algebraic varieties, coarse homology theories, topological cyclic homology, negative K-groups of monoid algebras, Milnor K-theory and regulators.

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66 ($/Count) $ $ On symplectic groups over polynomial rings. associated Kac-Moody groups and Witt rings. Jun Morita, Ulf Rehmann Pages OriginalPaper. Subnormal subgroups of 3-dimensional Poincaré duality groups.

Bieri, J. Hillman Pages Riemann Roch for equivariant \(\mathfrak{D}\) -modules-I. Roy Joshua Pages In mathematics, equivariance is a form of symmetry for functions from one symmetric space to another. A function is said to be an equivariant map when its domain and codomain are acted on by the same symmetry group, and when the function commutes with the action of the group.

That is, applying a symmetry transformation and then computing the function produces the same result as computing the. Get this from a library!

A survey of trace forms of algebraic number fields. [P E Conner; R Perlis] -- Every finite separable field extension F/K carries a canonical inner product, given by trace(xy). This symmetric K-bilinear form is the trace form of F/K.

When F is an algebraic number field and K is. Pierre Cartier: Lambda-rings and Witt vectors. Lars Hesselholt: The de Rham-Witt complex. Alexandru Buium: Arithmetic differential equations.

James Borger: Lambda-algebraic geometry. conference site. participants. The λ \lambda-ring structure on equivariant elliptic cohomology is due to.If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest.

In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader.