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Integer valued polynomials in topology and number theory

Integer valued polynomials in topology and number theory
拓扑和数论中的整数值多项式
批准号:
8829-2011
负责人:
Johnson, Keith
金额:
$0.73万
依托单位:
依托单位国家:
加拿大
项目类别:
Discovery Grants Program - Individual
财政年份:
2015
资助国家:
加拿大
项目状态:
已结题
起止时间:
2015-01-01 至 2016-12-31

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中文摘要
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英文摘要
This research project investigates algebras of integer valued polynomials and their applications in algebraic topology and number theory. The central objects of study, algebras of polynomials determined by integrality conditions, have been of interest to algebraists for at least 100 years and have been a rich source of examples and structural results. Their occurence in algebraic topology and number theory is more recent, dating from the 1970's, and motivates the study of their computational properties. In this project methods for constructing regular bases for such algebras are developed and these will be used to assist in the computations of stable homotopy groups in topology and of rings of endomorphisms of formal groups in number theory.
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Integer valued polynomials
  • 批准号:
    RGPIN-2016-05308
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.09万
  • 财政年份:
    2021
  • 负责人:
    Johnson, Keith
  • 依托单位:
Integer valued polynomials
  • 批准号:
    RGPIN-2016-05308
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.09万
  • 财政年份:
    2020
  • 负责人:
    Johnson, Keith
  • 依托单位:
Integer valued polynomials
  • 批准号:
    RGPIN-2016-05308
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.09万
  • 财政年份:
    2019
  • 负责人:
    Johnson, Keith
  • 依托单位:
Integer valued polynomials
  • 批准号:
    RGPIN-2016-05308
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.09万
  • 财政年份:
    2018
  • 负责人:
    Johnson, Keith
  • 依托单位:
海外基金