Motivic cohomology
From MaRDI portal
Publication:6119694
DOI10.4171/icm2022/112OpenAlexW4389775140MaRDI QIDQ6119694
Publication date: 24 March 2024
Published in: International Congress of Mathematicians (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/icm2022/112
Stable homotopy theory, spectra (55P42) (K)-theory and homology; cyclic homology and cohomology (19D55) (Equivariant) Chow groups and rings; motives (14C15) Motivic cohomology; motivic homotopy theory (14F42) Higher symbols, Milnor (K)-theory (19D45)
Cites Work
- CHERN CLASSES WITH MODULUS
- Framed motives of algebraic varieties (after V. Voevodsky)
- Modules over algebraic cobordism
- RELATIVE CYCLES WITH MODULI AND REGULATOR MAPS
- Witt sheaves and the η-inverted sphere spectrum
- Reciprocity sheaves
- p-adic étale Tate twists and arithmetic duality☆
- The homotopy coniveau tower
- On the $K$-theory and topological cyclic homology of smooth schemes over a discrete valuation ring
- \(\mathbb{A}^1\)-homotopy theory of schemes
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The six operations in equivariant motivic homotopy theory
- Chow group of 0-cycles with modulus and higher-dimensional class field theory
- \(\mathbb A^1\)-algebraic topology over a field
- Comparison of dualizing complexes
- Cancellation theorem
- Motivic Eilenberg-MacLane spaces
- On motivic cohomology with \(\mathbb{Z}/l\)-coefficients
- Remarques sur les différentielles des polylogarithmes uniformes. (Remarks on the differentials of the uniform polylogarithms.)
- Motivic cohomology over Dedekind rings
- Mixed motives and algebraic cycles. II
- Quasifaserungen und unendliche symmetrische Produkte
- Modules over motivic cohomology
- Etale K-theory. I: Connections with etale cohomology and algebraic vector bundles
- Higher regulators and values of \(L\)-functions
- Algebraic cycles and higher K-theory
- \(p\)-adic étale cohomology
- A note on p-adic étale cohomology
- \(\mathbb{A}^1\)-homotopy theory
- Riemann-Roch theorems for higher algebraic K-theory
- Milnor \(K\)-theory is the simplest part of algebraic \(K\)-theory
- K\(_2\) and algebraic cycles
- Relations between \(K_2\) and Galois cohomology
- On the \(p\)-typical curves in Quillen's \(K\)-theory
- Relative algebraic \(K\)-theory and topological cyclic homology
- The additive dilogarithm
- Mixed motives and algebraic cycles. III
- Integral \(p\)-adic Hodge theory
- Framed and MW-transfers for homotopy modules
- The class of Eisenbud-Khimshiashvili-Levine is the local \(\mathbb{A}^1\)-Brouwer degree
- Reduced power operations in motivic cohomology
- Motivic cohomology with \(\mathbb Z/2\)-coefficients
- Mixed motives and their realization in derived categories
- Weight filtrations via commuting automorphisms
- Mixed motives and algebraic cycles. I
- Singular homology of abstract algebraic varieties
- The \(K\)-theory of fields in characteristic \(p\)
- Cancellation theorem for framed motives of algebraic varieties
- Aspects of enumerative geometry with quadratic forms
- Motivic infinite loop spaces
- On log motives
- Homotopy invariant presheaves with framed transfers
- Suslin's moving lemma with modulus
- Topological Hochschild homology and integral \(p\)-adic Hodge theory
- Rational equivalence of O-cycles on surfaces
- Motivic slices and coloured operads
- Periods and Nori Motives
- $ K$-COHOMOLOGY OF SEVERI-BRAUER VARIETIES AND THE NORM RESIDUE HOMOMORPHISM
- Multiplicative Properties of the Slice Filtration
- The generalized slices of Hermitian K ‐theory
- SL-oriented cohomology theories
- Étale $K$-theory. II. Connections with algebraic $K$-theory
- An arithmetic count of the lines on a smooth cubic surface
- Groupes de Chow-Witt
- The generalized de Rham-Witt complex over a field is a complex of zero-cycles
- Regulators on additive higher Chow groups
- Algebraic and Etale K-Theory
- Values of zeta-functions at non-negative integers
- Gersten's conjecture and the homology of schemes
- K2of artinian Q-algebras, with application to algebraic cycles
- Notes on Crystalline Cohomology. (MN-21)
- Cycles, Transfers, and Motivic Homology Theories. (AM-143)
- An additive version of higher Chow groups
- The Norm Residue Theorem in Motivic Cohomology
- ON THE MOTIVIC SPECTRAL SEQUENCE
- A commutative P1-spectrum representing motivic cohomology over dedekind domains
- Lectures on Logarithmic Algebraic Geometry
- The spectral sequence relating algebraic K-theory to motivic cohomology
- On the Functoriality of the Slice Filtration
- Groupe de Chow des cycles orientés et classe d'Euler des fibrés vectoriels
- Voevodsky's slice conjectures via Hilbert schemes
- The localization theorem for framed motivic spaces
- Triangulated Categories of Mixed Motives
- Chow–Witt rings of classifying spaces for symplectic and special linear groups
- Motives with modulus, I: Modulus sheaves with transfers for non-proper modulus pairs
- Motives with modulus, II: Modulus sheaves with transfers for proper modulus pairs
- Framed motives of relative motivic spheres
- A Moving Lemma for Algebraic Cycles With Modulus and Contravariance
- Framed transfers and motivic fundamental classes
This page was built for publication: Motivic cohomology
