Twisted k-theory in motivic homotopy theory
WebAug 29, 2010 · By adopting the notion of an E-infinity ring spectrum to the motivic homotopy theoretic setting, we construct spectral sequences relating motivic (co)homology groups … Webtask dataset model metric name metric value global rank remove
Twisted k-theory in motivic homotopy theory
Did you know?
Web$\begingroup$ As far as I remember these (very complicated) things, algebraic K-theory actually does satisfy Bott periodicity. This is proved in the context of motivic homotopy theory. The big difference with usual topological homotopy theory is that you have two distinct algebraic versions of the usual topological circle. WebWe construct geometric compactifications of the moduli space $F_{2d}$ of polarized K3 surfaces, in any degree $2d$. Our construction is via KSBA theory, by ...
WebMotives of logarithmic schemes LMU seminar, 202 2.. Summer school on Motives and Artithmetic groups Motives and hermitian K-theory of number rings, IRMA, Strasbourg, 2024.. Part 1. Part 2. Part 3. Part 4. Motivic homotopy types of algebraic varieties Topics in Motivic Homotopy Theory, 202 1.. Motivic homotopy theory at infinity eCHT Research … 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 ...
WebApr 10, 2024 · Abstract: In this talk, we will speak about algebraic K-theory of vector bundles twisted by a Brauer class, and its place in motivic homotopy theory. In particular, we will discuss a new approach to the motivic spectral sequence for twisted K-theory, constructed earlier by Bruno Kahn and Marc Levine. WebIn algebraic geometry and algebraic topology, branches of mathematics, A 1 homotopy theory or motivic homotopy theory is a way to apply the techniques of algebraic topology, …
WebFor a linear algebraic group G acting on a smooth variety X over an algebraically closed field k of characteristic zero, we prove a version of non-abelian localization theorem for the rational higher equivariant K-theory of X. This is then used to establish a Riemann-Roch theorem for the completion of the rational higher equivariant K-theory at a maximal ideal …
WebIn this paper we study higher Chow groups of smooth, projective surfaces over a field k of characteristic zero, using some new Hodge theoretic methods which we develop for this purpose. In particular we investigate the subgroup of CH r+1 (X,r) with r = 1,2 consisting of cycles that are supported over a normal crossing divisor CH r+1 (X,r) with r = 1,2 fallout weapon mod menuWebThe work of Freed, Hopkins and Teleman [14] relates the twisted equivariant K-theory of a compact Lie group G to the “Verlinde ring” of its loop group. For a recent survey of twisted … convert factor to vector in rWebJul 19, 2024 · Motivic homotopy theory arose out of the work of Morel and Voevodsky in the 1990s and since then has developed into both a powerful tool for understanding many arithmetic aspects in algebra and algebraic geometry, as well as being a fascinating generalisation of classical homotopy theory with an active development in its own right. convert factor to character rWebSep 10, 2024 · In this talk, we will speak about algebraic K-theory of vector bundles twisted by a Brauer class, and its place in motivic homotopy theory. In particular, we will discuss … convert face frame cabinets to framelessWebBook Synopsis Homotopy Theory of Schemes by : Fabien Morel. Download or read book Homotopy Theory of Schemes written by Fabien Morel and published by American Mathematical Soc.. This book was released on 2006 with total page 116 pages. Available in PDF, EPUB and Kindle. convert existing tub to step-in tubWebtwisted K-theory as an extension ofthe twisted Grassmannian bythe sheaf of“twisted integers”. This leads to a proof of cdh descent and Milnor excision for twisted homotopy … convert factor column to character in rhttp://deglise.perso.math.cnrs.fr/docs/2024/PCMI2.pdf convert fahrenheit ke celcius