Norms in motivic homotopy theory
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 … 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" …
Norms in motivic homotopy theory
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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 ... Web19 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
Webto 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 ... 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 ...
WebTitles and abstracts. Behrens, tmf resolutions at the prime 2 . Around 20 years ago, Goerss, Henn, Mahowald, and Rezk started an industry of studying K (2)-local homotopy at bad primes using finite TMF resolutions. I will discuss how these resolutions detect a swath of elements at the prime 2 in the Isaksen-Wang-Xu range. Web1 de dez. de 2008 · The results in this article are cobbled together from a variety of sources of inspiration. §3 on norms in the motivic homotopy theory of stacks is a relatively straightforward extensions of my ...
Web28 de mai. de 2024 · Norms in motivic homotopy theory 28 May 2024 · Bachmann Tom , Hoyois Marc · Edit social preview
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. the 10th kingdom miniseriesWebAbstract: 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 … the 10th kingdom tv seriesWeb3 de mai. de 2024 · The purpose of this work is to study the notion of bivariant theory introduced by Fulton and MacPherson in the context of motivic stable homotopy theory, and more generally in the broader framework of Grothendieck six functors formalism. We introduce several kinds of bivariant theory associated with a suitable ring spectrum and … the 10th kingdom seriesWeb1 de jan. de 2004 · Inverting the stable motivic equivalences as in [Jar00] one obtains the motivic stable homotopy category SH (S). See [V98,MV99, Mor04] as an introduction to the motivic homotopy theory and as a ... the 10th kingdom watchWebAlong 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 the 10th kingdom streaming ukWeb8 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" functor , where is the pointed unstable motivic homotopy category over . If is finite étale, we show that it stabilizes to a functor , where is the -stable motivic homotopy category … the 10th kingdom watch onlineWebNORMS 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 … the 10th kingdom tv cast