2024 The chow t-structure on motivic spectra

The chow t-structure on motivic spectra

Author: blsv

August undefined, 2024

網頁Furthermore, we show that the $\infty$-category of modules over the Chow truncated sphere spectrum $\mathbb{1}_{c=0}$ is algebraic. Our results generalize the ones in Gheorghe–Wang–Xu in three aspects: to integral results; to all base fields other than just $\Bbb{C}$; to the entire $\infty$-category of motivic spectra $\mathcal{SH} (k ) 網頁The Chow t-structure on the∞-category of motivic spectra T Bachmann, HJ Kong, G Wang, Z Xu Ann. Math 195, 707-773, 2024 8 * 2024 Some extensions in the Adams spectral sequence and the 51–stem G Wang, Z Xu …

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網頁The spectral sequence relating algebraic K-theory to motivic cohomology 2002 • Khadija Azi Download Free PDF View PDF ... Such large-structure tools of cohomology as toposes and derived categories stay close to arithmetic in practice, yet existing We ... 網頁Abstract. For each prime p, we deﬁne a t-structure on the category Sd0,0/τ-Modb harm of harmonic C-motivic left module spectra over Sd0,0/τ, whose MGL-homology has … tjg djamila

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網頁2024年1月17日 · If R R is a commutative ring, the motivic spectrum H (R) H(R) has a canonical structure of E ∞ E_\infty-algebra in SH (S) SH(S) which induces the ring structure in motivic cohomology. Unlike in topology, H (ℚ) H(\mathbb{Q}) is not always equivalent to the rational motivic sphere spectrum S ℚ 0 S^0_{\mathbb{Q}}: this is only … 網頁2024年6月11日 · Applying methods of homotopy theory is one of the most important trends in arithmetic geometry in recent years. Motivic or ${\mathbb A}^1$-homotopy theory [18, 48, 51] was largely invented by Voevodsky to be used as a tool in order to prove the celebrated Milnor and Bloch-Kato conjectures [11, 47] in motivic cohomology [66,67,68]. 網頁2024年4月27日 · Stable stems and the Chow-Novikov t-structure in motivic stable homotopy category Slides from the talk. In this talk, I will discuss recent progress on the computation of classical stable homotopy groups of spheres, and highlight some new results regarding certain Adams differentials and their connections to the Kervaire invariant classes. tj from gma3

Stability results for local zeta functions of groups algebras, and …

The chow t-structure on motivic spectra

http://qzc.tsinghua.edu.cn/info/1195/2362.htm 網頁2024年12月4日 · We define the Chow t -structure on the ∞ -category of motivic spectra S H ( k) over an arbitrary base field k. We identify the heart of this t -structure S H ( k) c ♡ when the exponential characteristic of k is inverted. Restricting to the cellular subcategory, we identify the Chow heart S H ( k) c e l l, c ♡ as the category of even ...

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網頁2013年10月31日 · Motivic homotopy theory intertwines classical algebraic geometry and modern algebraic topology. In this paper we study obstruction theory for $E_\infty $ structures in the motivic setup. An $E_\infty $ structure on a motivic spectrum refers to a coherent homotopy commutative multiplication. ... 網頁We examine the “homotopy coniveau tower” for a general cohomology theory on smooth k-schemes and give a new proof that the layers of this tower for K-theory agree with motivic cohomology. In addition, the homotopy coniveau tower agrees with Voevodsky’s slice tower for S1-spectra, giving a proof of a connectedness conjecture of Voevodsky.

網頁I will then talk about the rich properties and extra structures that are present in the motivic stable homotopy category. ... K-theoretic obstructions to bounded t-structures Tuesday, February 21, 2024 - 3:15 PM APM 7218 Geometry and Topology Department of ... 網頁THE CHOW t-STRUCTURE ON THE ∞-CATEGORY OF MOTIVIC SPECTRA 3 at each prime p, where τ : Σ0,−1 1 ∧ p → ∧ p is the endomorphism of [Ghe18, Isa19]. We have the …

網頁Various types of local zeta functions studied in asymptotic group theory admit two natural operations: (1) change the prime and (2) perform local base extensions. Often, the effects of both of the preceding operations can be expressed simultaneously in terms of a single formula, a statement made precise using what we call local maps of Denef type. We show … 網頁We construct geometric compactifications of the moduli space $F_{2d}$ of polarized K3 surfaces, in any degree $2d$. Our construction is via KSBA theory, by ...

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網頁product structures, a development of stable homotopy theory for n-fold spectra, which is then promoted to the level of presheaves of n-fold spectra. This book should be of interest to all researchers working in fields related to algebraic K-theory. The techniques tj gem\u0027s網頁The Chow t-structure on the infinite category of motivic spectra, (with Tom Bachmann, Hana Jia Kong and Guozhen Wang). Annals of Mathematics. Volume 195 (2024), Issue 2, 707-773. [arXiv:2012.02687], 67 pages. Intersection forms of spin 4-manifolds tj gem\\u0027s網頁Abstract We define the Chow $t$-structure on the $\infty$-category of motivic spectra $SH(k)$ over an arbitrary base field $k$. We identify the heart of this $t ... tj from survivor網頁孔嘉博士，Institute for Advanced Study, Princeton, USA. Inviter: Title: The motivic Chow t-structure. Time & Venue: 2024.05.16 10:00-12:00 腾讯会议：593-874-852. Abstract: Work of Gheorghe--Wang--Xu defined the Chow-Novikov t-structure on a p-completed cellular motivic module category. One application of this t-structure is in ... tj generalization\u0027s網頁染料敏化太陽能電池（DSSC）受到各個研究團隊的偌大的關注，這些團隊正致力於太陽能電力轉換設備。由於在製程較為簡單、發色團數量的可用性、可將室內光轉化為電力、靈活性及顏色可調性，DSSC被證明是可以取代傳統的矽太陽能電池。因此，我們設計了兩個部分來合成應用於DSSC的鋅紫質染料。 tj generator\\u0027s網頁Some topics in the theory of Tannakian categories and applications to motives and motivic Galois groups ... Bruno Nilpotence, radicaux et structures monoïdales, Rend. Semin. Mat. Univ. Padova, Volume 108 (2002), pp. 107-291 (with an appendix by Peter O Zbl ... tj fs napajedla網頁The next step, which is also the hardest part, is to determine the motivic Adams differentials. According to the Mahowald Uncertainty Principle [Goe07, Xu17], any Adams … tj gaogao