Chow witt rings
WebSep 1, 2024 · In this talk, we introduce Milnor-Witt K-theory and Chow-Witt rings, which leads to the definition of (stable/effective) MW-motives over smooth bases. Then we discuss their quarternionic projective bundle theorem and Gysin triangles. As an application, we compute the Hom-groups between proper smooth schemes in the category of MW … Webgroups are a symplectically oriented ring cohomology theory. Usingour compu-tations for special linear groups, we also discuss the question when an oriented vector bundle of odd rank splits off a trivial summand. Contents 1. Introduction 1 2. Recollection on Chow–Witt rings 5 3. Chow–Witt rings of classifying spaces 12 4.
Chow witt rings
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Web工作经历：. 2015年-2024年 华威大学（英国） 博士后研究员. 2024年-2024年 伍珀塔尔大学&杜塞尔多夫大学（德国）博士后研究员. 2024年-至今 中山大学（广州） 副教授. WebWe compute the Chow-Witt rings of the classifying spaces for the symplectic and special linear groups. The computations for the symplectic groups show that Chow-Witt groups are a symplectically oriented ring cohomology theory. As a consequence of the computations for the special linear groups, we can show that an oriented vector bundle of odd ...
WebJul 5, 2007 · The Chow-Witt ring 9. Example 2.22. The triangulated category D. b (P (X)) with the support defined. in the example 2.19 and the pairing of example 2.16 satisfy … WebWe introduce equivariant Chow-Witt groups in order to define Chow-Witt groups of quotient stacks. We compute the Chow-Witt ring of the moduli stack of stable (resp. smooth) elliptic curves, providing a geometric interp…
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WebLet GW(F) denote the Grothendieck-Witt ring of non-degenerate qua-dratic forms over F: this is the group completion of the monoid (under orthogonal direct sum) of non-degenerate quadratic forms over F. The hy-perbolic form is the rank 2 form H(x;y) = x2 y2, and the Witt ring W(F) is the quotient GW(F)=(H). Note that (H) = ZH, as for a quadratic ... dr. matthew beasey abingdon vahttp://www2.math.uni-wuppertal.de/~hornbost/ coldnoodlefanWebLet GW(F) denote the Grothendieck-Witt ring of non-degenerate qua-dratic forms over F: this is the group completion of the monoid (under orthogonal direct sum) of non … dr matthew beaseyWebThe Chow-Witt ring 279 Definition 2.6. An i-symmetric form is an i pair (A,ϕ) where ϕ is an isomorphism. Theorem 2.7. L et (C,D,δ,̟) b e a triangulate d c ate gory with duality and let … dr matthew beesonWebJul 2, 2024 · Time & Place Speaker Title; Thu, 2 Jul 2024, 10:00-11:00 Online: Nanjun Yang (YMSC, Tsinghua University) Projective bundle theorem in MW-motives: Abstract: We present a version of projective bundle theorem in MW-motives (resp. Chow-Witt rings), which says that (ℙ(E)) is determined by (X) and (X × ℙ²) for smooth quasi-projective … cold night sweats causesWebChow-Witt rings of classifying spaces for symplectic and special linear groups (joint with M. Wendt), J. of Topology 12 (2024), 915-965. Chow-Witt rings of split quadrics (joint with H. Xie and M. Zibrowius), in "Motivic … cold non copy writeWebAug 22, 2024 · We apply the previous calculations of Chow-Witt rings of Grassmannians to develop an oriented analogue of the classical Schubert calculus. As a result, we get complete diagrammatic descriptions of the ring structure in Chow-Witt rings and twisted Witt groups. In the resulting arithmetic refinements of Schubert calculus, the multiplicity … cold nodules in thyroid scan