2024 Hermitian k-theory

Hermitian k-theory

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August undefined, 2024

Witrynaand 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 ... WitrynaThursday Seminar Fall 2024 – Hermitian K-theory. The goal of this seminar is to understand the seminal work of Calmés, Dotto, Harpaz, Hebestreit, Land, Moi, …

Hermitian K-theory of exact categories - Warwick

WitrynaThe 2-primary torsion of the higher algebraic K-theory of the integers has been computed by Rognes and Weibel. In this paper we prove analogous results for the Hermitian K-theory of the integers with 2 inverted (denoted by Z'). We also prove in this case the analog of the Lichtenbaum conjecture for the hermitian K-theory of Z' : the … Witryna15 wrz 2024 · This paper is the first in a series in which we offer a new framework for hermitian K-theory in the realm of stable $\infty$-categories. Our perspective yields solutions to a variety of classical ... burberry 1983 check link shoulder bag

An Artin-Schreier-type theory for signatures of hermitian forms …

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 Witryna5 paź 2016 · Tom Bachmann. We compute the generalized slices (as defined by Spitzweck-Østvær) of the motivic spectrum KO (representing hermitian K-theory) in … Witryna11 cze 2024 · The theory provides a universal understanding of non-Hermitian topological phenomena such as the unidirectional transport in one dimension and the chiral magnetic skin effect in three dimensions and systematically predicts new physics by revealing transport phenomena and skin effects in two dimensions induced by a … hall of beast wow

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Witryna2 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 ), 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 … hall of beef wormsWitryna15 wrz 2024 · Corpus ID: 221703712; Hermitian K-theory for stable $\infty$-categories II: Cobordism categories and additivity @article{Calms2024HermitianKF, … hall of beef david

"WitrynaThursday Seminar Fall 2024 – Hermitian K-theory. The goal of this seminar is to understand the seminal work of Calmés, Dotto, Harpaz, Hebestreit, Land, Moi, Nardin, Nikolaus, Steimle on Hermitian -theory. " - Hermitian k-theory

Hermitian k-theory

Witryna15 wrz 2024 · Download a PDF of the paper titled Hermitian K-theory for stable $\infty$-categories II: Cobordism categories and additivity, by Baptiste Calm\`es and 7 other authors. Download PDF Abstract: We define Grothendieck-Witt spectra in the setting of Poincaré $\infty$-categories and show that they fit into an extension with a K- and an … WitrynaThis study outlines the necessary and sufficient criteria for swarm stability asymptotically, meaning consensus in a class of fractional-order multi-agent systems (FOMAS) with interval uncertainties for both fractional orders 0 < α < 1 and 1 < α < 2. The constraints are determined by the graph topology, agent dynamics, and …

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Witryna17 lis 2024 · This paper is the first in a series in which we offer a new framework for hermitian $${\\text {K}}$$ K -theory in the realm of stable $$\\infty $$ ∞ -categories. … Witryna1 lut 2003 · For any prime q and positive integer t, we construct a spectrum k(t) in the stable homotopy category of schemes over a field k equipped with an embedding k↪ℂ. In classical homotopy theory, the ℂ realization of k(t) is known as Morava K-theory. The algebraic content lies in the fact that these spectra are defined as the homotopy limit …

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 … Witrynatheory, namely, hermitian K-theory. We show that, over a ﬁeld of characteristic not 2, hermitian K-theory is the framed suspension spectrum of the stack of ﬁnite …

Witryna25 wrz 2024 · Hermitian K-theory is the study of unimodular forms through the eyes of K-theory. In work of B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, M. Land, K. Moi, … Witryna7 kwi 2024 · Non-Hermitian band theory distinguishes between line gaps and point gaps. While point gaps can give rise to intrinsic non-Hermitian band topology without …

Witrynafundamental theorems from algebraic K-theory to (algebraic) hermitian K-theory. The main point here is that nowhere in the present paper we will have to assume “2 to be …

hall of aviation southamptonWitrynaWe 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 … hall of beasts bastion wowWitryna10 kwi 2024 · Quantum dynamics of non-Hermitian many-body Landau-Zener models Rajesh K. Malla, 1,2,3, Julia Cen, 2,3, y Wilton J. M. Kort-Kamp, 3 and Avadh Saxena 2,3 1 Condensed Matter Physics and Materials Science Division, Brookhaven National Laboratory, Upton, New York 11973, USA 2 Center for Nonlinear Studies, Los Alamos … hall of arts dallasWitryna1 lip 2024 · Within the framework of dg categories with weak equivalences and duality that have uniquely 2-divisible mapping complexes, we show that higher … burberry 1 piece bathing suitWitrynaHERMITIAN K-THEORY AND DERIVED EQUIVALENCES 3 1.16) which makes it clear that Aptr is a dg category with weak equivalences and du-ality whenever Ais, and the … hall of a shipWitryna1 sty 2006 · Cite this paper. Bass, M. (1973). Unitary algegraic K-theory. In: Bass, H. (eds) Hermitian K-Theory and Geometric Applications. hall of administration venturaWitryna5 paź 2016 · We compute the generalized slices (as defined by Spitzweck–Østvær) of the motivic spectrum KO (representing Hermitian K ‐theory) in terms of motivic … hall of beef