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Twisted k-theory in motivic homotopy theory

WebMay 24, 2011 · We make some computations in stable motivic homotopy theory over Spec ℂ, completed at 2. Using homotopy fixed points and the algebraic K-theory spectrum, we … WebTalk for number theorists on TMF, Northwestern number theory day, September 2014. The Kervaire invariant, more focused on geometric topology aspects (and the construction of the Kervaire manifold) than stable homotopy theory, Kan seminar, May 2014. Representability of algebraic K-theory by a motivic spectrum, Talbot, March 2014.

Paul Arne Østvær - Department of Mathematics - UiO

WebDec 2, 2024 · Fall 2024 The seminar will meet Fridays 10:30-11:30 AM in person in room 507. Please contact Allen Yuan with any inquiries regarding the seminar. September 9: Maximilien Peroux (UPenn) Topological Hochschild homology for twisted G-algebras Abstract: Topological Hochschild homology (THH) is an important variant for ring spectra. … WebNov 21, 2024 · Morel and Voevoedsky developed what is now called motivic homotopy theory, which aims to apply techniques of algebraic topology to algebraic varieties and, … qld xray northshore https://roschi.net

Open Problems in the Motivic Stable Homotopy Theory, I

WebThe theory of Algebraic Cycles, Higher Algebraic K-theory, and Motivic Homotopy Theory are modern versions of Grothendieck's legacy. In recent years it has seen some spectacular developments, on which we want to build further. The programme will also specifically explore the connections between the following areas: Algebraic K-theory, Motivic ... Web研究者番号: 30201510 : その他のID: 外部サイト: 所属 (現在) 2024年度: 九州大学, マス・フォア・インダストリ研究所, 教授 : 所属 (過去の WebOct 18, 2024 · twisted K-theory as an extension of the twisted Grassmannian by the sheaf of “twisted integers”. This leads to a proof of cdh d escent and Milnor excision for t wisted … qld xray online results

佐伯 修 SAEKI Osamu - kaken.nii.ac.jp

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Twisted k-theory in motivic homotopy theory

The MIT Talbot Workshop

WebAug 29, 2010 · The proof employs an Adams Hopf algebroid and a tri-graded Tor-spectral sequence for motivic twisted K-theory. By adopting the notion of an E-infinity ring … Webtheories in the sense of the motivic homotopy theory. In particular the trace maps p∗ defined by a finite field extension E/F in these theories fail to satisfy the condition p∗p∗ …

Twisted k-theory in motivic homotopy theory

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Web2. Stable A1-homotopy theory 7 2.1. The stabilization procedure and spectra 7 2.2. A (brief) summary of the six functors formalism 10 3. Algebraic K-theory and Beilinson motives 11 3.1. Representability algebraic K-theory 11 3.2. Beilinson motivic cohomology 13 3.3. Beilinson motives 15 4. Conclusion 17 References 17 basic algebraic geometry ... WebOct 18, 2024 · A bstract . In this paper, we study twisted algebraic K-theory from a motivic viewpoint. For a smooth variety X over a field of characteristic zero and an Azumaya …

WebAug 29, 2010 · Motivic twisted K-theory. Markus Spitzweck, Paul Arne Østvær. This paper sets out basic properties of motivic twisted K-theory with respect to degree three motivic … http://deglise.perso.math.cnrs.fr/docs/2024/PCMI2.pdf

WebMotivic homotopy theory has its roots in algebraic geometry. As a result of the recent advances, there is a reintegration of algebraic topology and algebraic geometry, with close connections to equivariant homotopy theory and number theory. In this talk, I will introduce the classical and motivic stable homotopy categories and the connections ... WebWe embed the derived category of Deligne 1-motives over a perfect field into the étale version of Voevodsky’s triangulated category of geometric motives, after inverting the exponential characteristic. We then show tha…

http://deglise.perso.math.cnrs.fr/docs/2024/PCMI2.pdf

WebSome topics in the theory of Tannakian categories and applications to motives and motivic Galois groups ... Alexander A. Height pairing between algebraic cycles, K-theory, arithmetic and geometry (Moscow, ... Fabien; Voevodsky, Vladimir A 1-homotopy theory of schemes, Publ. Math., Inst. Hautes Étud. Sci. (1999) no. 90, ... qld xray oxenfordhttp://www.numdam.org/articles/10.5802/pmb.43/ qld xray results portalWebWe construct geometric compactifications of the moduli space $F_{2d}$ of polarized K3 surfaces, in any degree $2d$. Our construction is via KSBA theory, by ... qld xray shailer parkWebAuthor: Douglas C. Ravenel Publisher: Princeton University Press ISBN: 1400882486 Category : Mathematics Languages : en Pages : 224 Download Book. Book Description Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on the nilpotence and periodicity … qld xray redlands hospitalWebWe construct geometric compactifications of the moduli space $F_{2d}$ of polarized K3 surfaces, in any degree $2d$. Our construction is via KSBA theory, by ... qld xray smithfieldWebMotivic twisted K–theory 569 For a general twist ˝it turns out that the motivic twisted K–theory spectra KGL˝ and KGL˝ do not acquire ring structures in the motivic stable … qld xray springfieldWebTopic: Motivic homotopy theory involves the study of algebraic varieties and schemes using methods not only from algebraic geometry, but also from algebraic topology. A basic idea is to use techniques from homotopy theory, such as the construction of homotopy groups and the use of homotopical invariants, to investigate topological and geometric properties of … qld xray st vincent\u0027s toowoomba