Unramified Values Among Even/Odd Variants of Motivic Multiple Zeta Values

：徐策（安徽师范大学）
：2025-05-30 16:30
：海韵园实验楼S208

报告人：徐策（安徽师范大学）

时  间：2025年5月30日16:30

地  点：海韵园实验楼S208

内容摘要:

In this talk we shall consider a few variants of the motivic multiple zeta values of level two by restricting the summation indices in the definition of multiple zeta values to some fixed parity patterns. These include Hoffman's multiple t-values, Kaneko and Tsumura's multiple T-values, and the multiple S-values studied previously by Prof. Jianqiang Zhao and the speaker. We will explain how to use Brown and Glanois's descent theory to determine some ramified and unramified families of motivic versions of these values. Assuming Grothendieck's period conjecture, our results partially confirm a conjecture of Kaneko and Tsumura about when multiple T-values can be expressed as a rational linear combination of multiple zeta values (i.e., unramified) if their depth is less than four. We will propose some unsolved problems at the end of the talk. This is a joint work with Prof. Jianqiang Zhao.

个人简介：

徐策，安徽师范大学数学与统计学院副教授，硕士生导师。2020年博士毕业于厦门大学，同年加盟安徽师范大学数学与统计学院。曾在日本九州大学访学一年，师从Masanobu Kaneko教授，主要从事多重zeta值（Multiple zeta values, MZVs）及其相关变形的研究。曾主持国家自然科学基金，安徽省自然科学基金和安徽省教育厅高校项目各1项。在Mathematische Zeitschrift, Journal of Algebra, Journal of Number Theory, European Journal of Combinatorics等期刊发表论文60余篇。

 

联系人：易少云