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Automorphic Forms Workshop

Automorphic Forms Workshop
自守形式研讨会
批准号:
1069292
负责人:
Holly Swisher
金额:
$1.47万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2011
资助国家:
美国
项目状态:
已结题
起止时间:
2011-02-01 至 2012-01-31

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中文摘要
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英文摘要
The annual Workshop on Automorphic Forms and Related Topics has built a reputation as an internationally recognized and respected conference that is attended by leading experts in this broad area of mathematics. Traditionally, this workshop serves a healthy balance of students, junior faculty, and senior faculty from many types of academic institutions in geographically diverse areas and encourages them to deliver research presentations. This workshop strengthens the automorphic forms research community by providing mentoring and professional development for junior researchers in this active field.Automorphic forms is a central subject in contemporary number theory with deep connections to many areas across mathematics and the mathematical sciences including representation theory, combinatorics, and mathematical physics. In 2011, the theme of the Automorphic Forms Workshop is the theory of harmonic weak Maass forms. As an example of the subject's importance, in the last works of Ramanujan, in particular his last letter to Hardy and his lost notebook, the subject of mock theta functions was introduced. For many decades, mathematicians were unable to understand mock theta functions as part of a larger context. However in recent work of Zwegers, mock theta functions are identified as occurring as the holomorphic parts of harmonic weak Maass forms, thus generating a fresh torrent of research in Maass forms, mock modular forms, and automorphic forms in general.
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Modular Forms, Combinatorial Generating Functions, and Hypergeometric Functions
  • 批准号:
    2101906
  • 项目类别:
    Standard Grant
  • 资助金额:
    $21.15万
  • 财政年份:
    2021
  • 负责人:
    Holly Swisher
  • 依托单位:
REU Site: Mathematics and Theoretical Computer Science at Oregon State University
  • 批准号:
    1757995
  • 项目类别:
    Standard Grant
  • 资助金额:
    $28.82万
  • 财政年份:
    2018
  • 负责人:
    Holly Swisher
  • 依托单位:
Collaborative Research: Oregon Number Theory Days
  • 批准号:
    1719617
  • 项目类别:
    Standard Grant
  • 资助金额:
    $0.6万
  • 财政年份:
    2017
  • 负责人:
    Holly Swisher
  • 依托单位:
Computational Representation Theory in Number Theory
  • 批准号:
    1513890
  • 项目类别:
    Standard Grant
  • 资助金额:
    $4.5万
  • 财政年份:
    2015
  • 负责人:
    Holly Swisher
  • 依托单位:
海外基金