Norms in motivic homotopy theory
WebNice survey: A^1-homotopy theory and contractible varieties: a survey ; Affine representability results in A1-homotopy theory: vector bundles , principal bundles and homogeneous spaces , finite fields and complements ; On modules over motivic ring spectra ; Fundamental classes in motivic homotopy theory ; Norms in motivic … 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.
Norms in motivic homotopy theory
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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 ... 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 …
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 … 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
WebAlthough it might be possible to construct motivic norms using suitable categories with weak equivalences, as is done in [HHR16] in the case of equivariant homotopy theory, it would … 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 ...
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 …
Web21 de nov. de 2024 · Morel and Voevoedsky developed what is now called motivic homotopy theory, which aims to apply techniques of algebraic topology to algebraic varieties and, … chimeric humanized miceWeb17 de jan. de 2024 · January 2024; Authors: Aaron Mazel-Gee chimeric human mousehttp://math.columbia.edu/~magenroy/motivicseminar.html chimeric humanWeb9 de fev. de 2024 · A motivic homotopy theory without $$\mathbb {A}^{1}$$ A 1 -invariance. 05 September 2024. Federico Binda. ... by a reciprocity law stating that the sum of the norms of the residues of a given element of the Milnor K-theory of the function field of \(\mathbb {P}_k^1\) at closed points is 0 where k is a given field. chimeric joinIn 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… chimeric illustoryWebWe construct geometric compactifications of the moduli space $F_{2d}$ of polarized K3 surfaces, in any degree $2d$. Our construction is via KSBA theory, by ... gradually abolishWeb8 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 … chimeric junction