A primer for unstable motivic homotopy theory

Benjamin Antieau, Elden Elmanto

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

In this expository article, we give the foundations, basic facts, and first examples of unstable motivic homotopy theory with a view towards the approach of Asok-Fasel to the classification of vector bundles on smooth complex affine varieties. Our focus is on making these techniques more accessible to algebraic geometers.

Original languageEnglish (US)
Title of host publicationSurveys on recent developments in algebraic geometry
Subtitle of host publicationbootcamp for the Summer Research Institute on Algebraic Geometry, 2015
EditorsIzzet Coskun, Tommaso de Fernex, Angela Gibney
PublisherAmerican Mathematical Society
Pages305-370
Number of pages66
ISBN (Electronic)9781470441210
ISBN (Print)9781470435578
DOIs
StatePublished - 2017
EventSurveys on recent developments in algebraic geometry : bootcamp for the Summer Research Institute on Algebraic Geometry, 2015 - Salt Lake City, United States
Duration: Jul 6 2015Jul 10 2015

Publication series

NameProceedings of Symposia in Pure Mathematics
Volume95
ISSN (Print)0082-0717

Conference

ConferenceSurveys on recent developments in algebraic geometry : bootcamp for the Summer Research Institute on Algebraic Geometry, 2015
CountryUnited States
CitySalt Lake City
Period7/6/157/10/15

Keywords

  • Algebraic K-theory
  • Motivic homotopy theory
  • Postnikov systems
  • Projective modules
  • Vector bundles

ASJC Scopus subject areas

  • Mathematics(all)

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