May 2025

Abstract (first part):(English only)

Multiple zeta functions have been studied at least since Euler, who found many of their algebraic properties.

In particular, they are greatly developed since the 1980s in several different contexts such as modular forms, mixed Tate motives, quantum groups, moduli spaces of vector bundles, scattering amplitudes, etc.

In this talk, I will introduce a combinatorial generalization of the Euler-Zagier type multiple zeta functions, that we call Schur multiple zeta functions. These functions were introduced by O. Phuksuwan, Y. Yamasaki and myself in 2018 and are defined as sums over combinatorial objects called semi-standard Young tableaux.

I will then discuss some of the properties that have been discovered so far in my research.

Abstract (second part):

研究集会「数論女性の集まり(WINJ=Women in Number Theory in Japan)」は，2008年5月の第1回集会を皮切りに，コロナ禍のため中断した1回を除き，年に1度継続して開催しています．主催者も講演者も聴衆も女性に限定されていますが，毎年30余名の参加者で個々の研究内容の報告や議論を活発に行っており，集会後には報告集を発行しています．私自身は第5回集会より世話人として関わっており，今年で14年目になります．

また，この経験をいかして，2023年3月にはRIMS女性参画推進型拠点事業として，外国の女性研究者を招聘し，数論女性を中心とする国際集会を研究代表者として開催しました．この集会は講演者と聴衆に男性も含みます．

これらの女性参画型の集会の運営，開催の報告を中心にお話しさせていただければと思います．

The research conference "Women in Number Theory in Japan (WINJ)" has been held annually since the first conference in May 2008, except for one conference that was suspended due to the COVID-19 pandemic. Although the organizers, speakers, and audience are all limited to women, over 30 participants each year actively report and discuss individual research content, and proceedings are published after the conference. I have been involved as a organizer since the fifth conference, and this year marks my 14th year.

In addition, taking advantage of this experience, in March 2023, I invited foreign female researchers to an international conference focusing on women in number theory as a RIMS Promotion of Women's Participation in Research Activities, and organized it as a principal organizer. This conference included men as speakers and audience.

I would like to talk mainly about the management and hosting of these women-participatory conferences.

Discussion Theme (second part):

第2部については女性参加型集会について話しますので，その方向の問題点などの共有がよいかと思います．（必須ではありません）

I will talk about women-participatory conferences in the 2nd part, so it would be good to share the issues in that direction as the topic of discussion. (But, this is not required.)