Norms in motivic homotopy theory

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August undefined, 2024

In algebraic geometry and algebraic topology, branches of mathematics, A homotopy theory or motivic homotopy theory is a way to apply the techniques of algebraic topology, specifically homotopy, to algebraic varieties and, more generally, to schemes. The theory is due to Fabien Morel and Vladimir Voevodsky. The underlying idea is that it should be possible to develop a purely algebraic approach to homotopy theory by replacing the unit interval [0, 1], which is not a… WebAbstract We establish, in the setting of equivariant motivic homotopy theory for a finite group, a version of tom Dieck’s splitting theorem for the fixed points of a suspension …

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Web28 de mai. de 2024 · Norms in motivic homotopy theory 28 May 2024 · Bachmann Tom , Hoyois Marc · Edit social preview sharp program effectiveness

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WebAbstract: Motivic homotopy theory over R is interesting in part because of its connection to ordinary stable homotopy theory and to C2-equivariant homotopy theory. In this talk I will review some of these connections, and discuss work in progress with Dan Isaksen to compute R-motivic stable homotopy groups of spheres using an Adams spectral … WebPub Date: November 2024 DOI: 10.48550/arXiv.1711.03061 arXiv: arXiv:1711.03061 Bibcode: 2024arXiv171103061B Keywords: Mathematics - Algebraic Geometry; WebThe motivic homotopy theory is the homotopy theory for algebraic varieties and, more generally, for Grothendieck's schemes which is based on the analogy between the affine … sharp projecting cutting edges

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Web17 de jan. de 2024 · Remark. The usage of the 𝔸 1 \mathbb{A}^1 - prefix in the above definitions may seem strange since all these notions are simply inherited from the Nisnevich (∞,1)-topos. The point is that, when a smooth scheme X X is viewed as a motivic space, a localization functor is implicitly applied. The underlying Nisnevich (∞,1)-sheaf of the … Webmotivic homotopy theory Dissertation zur Erlangung des Grades Doktor der Naturwissenschaften (Dr. rer. nat.) des Fachbereiches Mathematik/Informatik der Universität Osnabrück vorgelegt von Peter Arndt Betreuer Prof. Dr. Markus Spitzweck Osnabrück, September 2016 Erstgutachter: Prof. Dr. Markus Spitzweck Zweitgutachter: Prof. David … sharp program not workingWebto build E out of motivic Eilenberg-MacLane spectra by looking at the mo-tivic homotopy groups of E. There is a spectral sequence which starts with cohomology with coeﬃcients in the sheaves of motivic homotopy groups of E and converges to the theory represented by E but the cohomology with coeﬃcients in the sheaves of homotopy groups are ... sharp program success

"WebAlong the way we establish structural results and constructions for equivariant motivic homotopy theory of independent interest. This includes geometric fixed-point functors and the motivic Adams isomorphism. ... Bachmann, T. and Hoyois, M., Norms in motivic homotopy theory, Preprint, 2024, arXiv:1711.03061.Google Scholar " - Norms in motivic homotopy theory

Norms in motivic homotopy theory

[2104.03222] Stable motivic homotopy theory at infinity

Web19 de set. de 2024 · Algebra Seminar: Norms and Transfers in Motivic Homotopy Theory. Monday, September 19, 2024 3:30pm to 4:30pm. Add to My Plans. About this Event. Kaprielian Hall (KAP), 245 View map. Add to calendar. Web8 de nov. de 2024 · Norms in motivic homotopy theory. Tom Bachmann, Marc Hoyois. If is a finite locally free morphism of schemes, we construct a symmetric monoidal "norm" …

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Web8 de fev. de 2008 · Rigidity in motivic homotopy theory. Oliver Röndigs &. Paul Arne Østvær. Mathematische Annalen 341 , 651–675 ( 2008) Cite this article. 211 Accesses. … WebNORMS IN MOTIVIC HOMOTOPY THEORY TOM BACHMANN AND MARC HOYOIS Abstract. If f: S0! Sis a nite locally free morphism of schemes, we construct a symmetric …

Web7 de abr. de 2024 · In this paper, we initiate a study of motivic homotopy theory at infinity. We use the six functor formalism to give an intrinsic definition of the stable motivic homotopy type at infinity of an algebraic variety. Our main computational tools include cdh-descent for normal crossing divisors, Euler classes, Gysin maps, and homotopy purity. … Web17 de jan. de 2024 · January 2024; Authors: Aaron Mazel-Gee

WebMoreover, the flow of information can be reversed as well, producing new results in motivic stable homotopy theory for general fields. Friday, January 20, 2024 - 4:00 PM. APM 6402 ***** Department of Mathematics, University of California San Diego ***** Department Colloquium. Hao Shen. University of Wisconsin-Madison ... WebSummary. In this paper, we study the Nisnevich sheafification é H ét 1 ( G) of the presheaf associating to a smooth scheme the set of isomorphism classes of G -torsors, for a reductive group G. We show that if G -torsors on affine lines are extended, then é H ét 1 ( G) is homotopy invariant and show that the sheaf is unramified if and only ...

Web1 de fev. de 2011 · We discuss certain calculations in the 2-complete motivic stable homotopy category over an algebraically closed field of characteristic 0. Specifically, we prove the convergence of motivic analogues of the Adams and Adams-Novikov spectral sequences, and as one application, discuss the 2-complete version of the complex …

WebUsing these norm functors, the authors define the notion of a normed motivic spectrum, which is an enhancement of a motivic E ∞ -ring spectrum. The main content of this text … sharp program army statisticsWebWe construct geometric compactifications of the moduli space $F_{2d}$ of polarized K3 surfaces, in any degree $2d$. Our construction is via KSBA theory, by ... sharp professorWeb16 de mar. de 2015 · Similarly, motivic homotopy theory and algebraic structures on varieties combine to yield differential-topological tools in algebraic geometry. I will survey various results in motivic homotopy on oriented intersections, fixed point theorems, framed cobordism, Morse theory, and the Poincaré-Hopf theorem. porsche 1965 navigationWebSummary. In this paper, we study the Nisnevich sheafification é H ét 1 ( G) of the presheaf associating to a smooth scheme the set of isomorphism classes of G -torsors, for a … sharp program regulationWeb"This research monograph on motivic homotopy theory contains material based on lectures at a summer school at the Sophus Lie Centre in Nordfjordeid, Norway, in August 2002. With a similar scope as the summer school it is aimed at graduate students and researchers in algebraic topology and algebraic geometry. … sharp professional steam pocket mopWeb19 de jul. de 2024 · Below are the descriptions for each week of the Virtual PCMI 2024 Graduate Summer School Program. Students may apply to one, two, or all three of the one-week sessions. July 12-16 - Motivic Homotopy July 19-23 - Illustrating Mathematics July 26-30 - Number Theory Informed by Computation sharp projector repair near meWeb8 de nov. de 2024 · The present paper is part of a larger project to understand which nilpotence theorems continue to hold in the stable motivic category SH (S), where S is a … sharp program army history