On the integral Tate conjecture for finite fields and representation theory

Benjamin Antieau*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 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 An, our proof relies heavily on representation theory, and Milnor's operations vanish on the classes we construct.

Original languageEnglish (US)
Pages (from-to)138-149
Number of pages12
JournalAlgebraic Geometry
Volume3
Issue number2
DOIs
StatePublished - 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

Fingerprint

Dive into the research topics of 'On the integral Tate conjecture for finite fields and representation theory'. Together they form a unique fingerprint.

Cite this