750 research outputs found

    Notes for the WITT follow-up meeting

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    WITT meeting notes outlining the legislated responsibility for Canada Employment Centres, national head quarters, and regional headquarters to fulfill implementation of the Designated Group Policy legislation as well as monitor for success in related outcomes. Obstacles to the progress of this requirement are discussed. Strategies for mitigating the obstacles are provided.[References] Operational Guidelines for the Designated Group Policy; [References] Designated Group Policy; [References] Designated Group Policy Steering Committee and Working Group; [References] National Strategy for the Integration of Persons with Disabilities; [References] Labour Force Development Strategy; [References] National Women's Employment Workplan (strategy); [References] Labour Force Development Agreement

    Stephen Witt: "Jensen Huang re-engineered Nvidia to make it the most valuable company in the world"

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    The Thinking Machine is a deep dive into the rise of Nvidia, the company producing the microchips powering the AI “industrial revolution”, and its long-running CEO, Jensen Huang. LSE Review of Books Managing Editor Anna D’Alton spoke to the book’s author Stephen Witt about the reasons for Nvidia’s success and if its dominance is sustainable, how AI is transforming our societies and whether the massive investment in AI could create a bubble. The Thinking Machine: Jensen Huang, Nvidia, and the World’s Most Coveted Microchip. Stephen Witt. The Bodley Head. 2025

    Witt invariants of finite groups

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    We develop tools for lifting information from cohomological invariants to Witt invariants, and use these tools to describe the Witt invariants of Weyl groups. In particular, we prove an analogue of a trace form theorem due to Serre, showing that for certain algebras arising from Galois cohomology, trace forms and their exterior powers generate all possible Witt invariants.Ph.D.Includes bibliographical reference

    Witt rings of quaternion algebras

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    AbstractThis paper has been motivated by an article of T. Craven (J. Algebra77 (1982), 74–96) in which the author defines a Witt ringW(D) for a skew field D. When D is commutative, then this newly defined ring is the classical Witt ring of quadratic forms over D and its properties are well known. Our main concern is the Witt ringsW(D) of the quaternion algebras since these seem to be the simplest examples of skew fields. We fully describe the ringW(D) forD= 〈α, β/F〉 in two cases: (i)F is a Pythagorean field,α = β = − 1, and (ii)F is ℘-adic. We show that in each of these cases the ringW(D) is isomorphic to the Witt ringW(L) for some fieldL

    Boolean Witt vectors and an integral Edrei–Thoma theorem

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    A subtraction-free definition of the big Witt vector construction was recently given by the first author. This allows one to define the big Witt vectors of any semiring. Here we give an explicit combinatorial description of the big Witt vectors of the Boolean semiring. We do the same for two variants of the big Witt vector construction: the Schur Witt vectors and the p-typical Witt vectors. We use this to give an explicit description of the Schur Witt vectors of the natural numbers, which can be viewed as the classification of totally positive power series with integral coefficients, first obtained by Davydov. We also determine the cardinalities of some Witt vector algebras with entries in various concrete arithmetic semirings

    New improved exact sequences of Witt groups

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    AbstractTwo exact sequences of Witt groups are constructed, extending ones obtained earlier by the author. They involve Witt groups of forms over a base field K, quadratic extension L, and quaternion division algebra D containing L as a maximal subfield. The mappings in these sequences arise by use of the tensor product for “going up” in the inclusions K ⊂L ⊂D and by use of trace maps for “going down.” The sequences exhibit a pleasing degree of symmetry and yield results on the relative sizes of the Witt groups. Also a result on the relative sizes of the groups of square classes of K and L is obtained

    Decomposition of Witt Rings

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    We take the definition of a Witt ring to be that given in [13], i.e., it is what is called a strongly representational Witt ring in [8]. The classical example is obtained by considering quadratic forms over a field of characteristic ≠ 2 [17], but Witt rings also arise in studying quadratic forms or symmetric bilinear forms over more general types of rings [5,7, 8, 9]. An interesting problem in the theory is that of classifying Witt rings in case the associated group G is finite. The reduced case, i.e., the case where the nilradical is trivial, is better understood. In particular, the above classification problem is completely solved in this case [4, 12, or 13, Corollary 6.25]. Thus, the emphasis here is on the non-reduced case. Although some of the results given here do not require |G| &lt; ∞, they do require some finiteness assumption. Certainly, the main goal here is to understand the finite case, and in this sense this paper is a continuation of work started by the second author in [13, Chapter 5].</jats:p

    Article The Holland Colony in Michigan in the Christian Intelligencer

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    The Christian Intelligencer published an article on this date written by T.D.W. or Dr. Thomas De Witt, a pastor of the Collegiate Church in New York City, entitled The Holland Colony in Michigan. The author gave a brief history and description of the Holland Colony and the coming of the Dutch to the Middle West. The Holland Colony, he was told, numbered between five and six thousand. De Witt had visited the Colony a few months previous. He also spoke of Rev. Albertus Van Raalte\u27s concern for education.https://digitalcommons.hope.edu/vrp_1850s/1135/thumbnail.jp

    Chow–Witt rings and topology of flag varieties

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    The paper computes the Witt-sheaf cohomology rings of partial flag varieties in typeA in terms of the Pontryagin classes of the subquotient bundles. The proof is based on a Leray–Hirsch-type theorem for Witt-sheaf cohomology for the maximal rank cases, and a detailed study of cohomology ring presentations and annihilators of characteristic classes for the general case. The computations have consequences for the topology of real flag manifolds: we show that all torsion in the integral cohomology is 2-torsion, which was not known in full generality previously. This allows for example to compute the Poincaré polynomials of complete flag varieties for cohomology with twisted integer coefficients. The computations also allow to describe the Chow–Witt rings of flag varieties, and we sketch an enumerative application to counting flags satisfying multiple incidence conditions to givenhypersurfaces. © 2024 The Author(s). The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.FALSEsciescopu
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