Around the Broadhurst-Kreimer conjecture

2017 Fiscal Year Final Research Report

• Project/Area Number: 16H07115
• Research Category: Grant-in-Aid for Research Activity Start-up
• Allocation Type: Single-year Grants
• Research Field: Algebra
• Research Institution: Aichi Prefectural University
• Principal Investigator: TASAKA Koji 愛知県立大学, 情報科学部, 助教 (30780762)
• Project Period (FY): 2016-08-26 – 2018-03-31
• Keywords: 多重ゼータ値 / モジュラー形式 / Broadhurst-Kreimer予想

Outline of Final Research Achievements

A goal of this project is to reveal the Broadhurst-Kreimer conjecture, which describes certain relationships between multiple zeta values and modular forms. For this, we focused on multiple zeta values of lower depths, and found explicit connections with modular forms. This is a joint work with Ding Ma from Duke University. Also, I observed an interesting connection between modular forms and multiple Eisenstein series which is a common generalization of multiple zeta values and modular forms.

Free Research Field

整数論