On the integral Tate conjecture for finite fields and representation theory

Benjamin Antieau

doi:10.14231/AG-2016-007

On the integral Tate conjecture for finite fields and representation theory

Benjamin Antieau^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We describe a new source of counterexamples to the so-called integral Hodge and integral Tate conjectures. As in the other known counterexamples to the integral Tate conjecture over finite fields, ours are approximations of the classifying space of some group BG. Unlike the other examples, we find groups of type A_n, our proof relies heavily on representation theory, and Milnor's operations vanish on the classes we construct.

Original language	English (US)
Pages (from-to)	138-149
Number of pages	12
Journal	Algebraic Geometry
Volume	3
Issue number	2
DOIs	https://doi.org/10.14231/AG-2016-007
State	Published - Mar 1 2016

Keywords

Chow rings
Classifying spaces of algebraic groups
Cycle class maps
Tate conjecture

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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10.14231/AG-2016-007

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KW - Classifying spaces of algebraic groups

KW - Cycle class maps

KW - Tate conjecture

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On the integral Tate conjecture for finite fields and representation theory

Abstract

Keywords

ASJC Scopus subject areas

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