WitrynaWe argue that the very effective cover of hermitian K-theory in the sense of motivic homotopy theory is a convenient algebro-geometric generalization of the connective real topological K-theory spectrum. This means the very effective cover acquires the correct Betti realization, its motivic cohomology has the desired structure as a module over …
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WitrynaHERMITIAN K-THEORY AND DERIVED EQUIVALENCES 3 with (weak equivalences and) duality is defined to be the Grothendieck-Witt group of the exact category with weak equivalences and duality in the sense of [Sch10b, Definition 1] of the category Z0Aptr of closed degree zero maps in the pretriangu-lated hull of A. Witryna16 maj 2011 · Bott periodicity for the unitary and symplectic groups is fundamental to topological K-theory.Analogous to unitary topological K-theory, for algebraic K-groups with finite coefficients, similar results are consequences of the Milnor and Bloch-Kato conjectures, affirmed by Voevodsky, Rost and others.More generally, we prove that …
Witryna13 kwi 2024 · A sufficient condition for semisimplicity is the property of being Hermitian, i.e., the existence of a Hermitian inner product on the representation with respect to which \(B(C)\) ... Questions of quantum field theory and statistical physics. Part 6, Zap. Nauchn. Sem. LOMI, “Nauka,” Leningrad. Otdel., Leningrad, 1986, 196–213. Witryna29 mar 2024 · Abstract We show that the hermitian K-theory space of a commutative ring R can be identified, up to 𝐀 1 {\mathbf{A}^{1}} -homotopy, with the group completion of the groupoid of oriented finite Gorenstein R-algebras, i.e., finite locally free R-algebras with trivialized dualizing sheaf. We deduce that hermitian K-theory is universal …
Witryna1 lip 2024 · Within the framework of dg categories with weak equivalences and duality that have uniquely 2-divisible mapping complexes, we show that higher … Witryna23 lip 2004 · The homotopy limit problem for Hermitian K-theory, equivariant motivic homotopy theory and motivic Real cobordism. Advances in Mathematics, Vol. 228, Issue. 1, p. 434. CrossRef; Google Scholar; Röndigs, Oliver and Østvær, Paul 2016. Slices of hermitian K–theory and Milnor’s conjecture on quadratic forms. Geometry …
Witryna2 paź 2024 · motivic homotopy theory, slice filtration, motivic cohomology, algebraic K-theory, Hermitian K-theory, higher Witt-theory, quadratic forms over rings of integers, special values of Dedekind ζ-functions of number fields. 2010 Mathematics Subject Classification 11R42, 14F42, 19E15, 19F27
Witryna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. hardwood flooring in bathroom pros and consWitryna2 Hermitian Morita theory and the mixed Witt ring In this section we review the necessary material from [5], starting with some hermitian Morita theory. If (A,σ) and (B,τ) are algebras with involution over K, a hermitian Morita equivalence from (B,τ) to (A,σ) is a B-A-bimodule V such that B ≃ EndA(V ), change screen display in windows 10Witrynahermitian K. -theory It is an algebraic ersion v of the theorem Conner and yd Flo [2, Theorem 10.2] reconstructing real K-theory using symplectic cob ordism. The algebraic ersion v of the reconstruction complex K-theory using unitary cob ordism as w done in [5]. In [7] the t curren authors constructed a e utativ comm ring T-sp ectrum BO t ... hardwood flooring in orange county nyWitrynaand h is a Hermitian metric on K´1 X whose curvature is ω. We normalize θv by requiring ş X θvω n “ 0. Following the work of Alvarez-Co´nsul–Garc´ıa-Ferna´ndez–Garc´ıa-Prada [1]´ for Ka¨hler-Yang-Mills equations, we identify a Futaki type invariant which is an obstruction to the existence of solutions of the coupled ... change screen display size windows 11Witryna13 lis 2009 · We study the theory of higher Grothendieck-Witt groups, alias algebraic hermitian K -theory, of symmetric bilinear forms in exact categories, and prove … hardwood flooring in naperville ilWitryna29 kwi 2024 · Algebraic and hermitian K-theory have been widely studied since the pioneering works on the Grothendieck–Riemann–Roch theorem [] and on rings with … change screen edges in windows 10Witryna30 kwi 1976 · In the first chapter we introduce the basic concepts of Hermitian K-theory. In particular, we discuss the periodicity property, the Bass-Novikov projections and … hardwood flooring in peterborough