报告题目: Ramified and Unramified Motivic Multiple t-, T-and S-Values

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.

报告人：徐策(安徽师范大学副教授）

报告时间：2026年3月10日(周二)上午10：00-12：00

报告地点：图书馆1612会议室

主办单位：科技处，研究生部，数理与金融学院

徐策，硕士生导师，安徽师范大学数学与统计学院副教授。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（金子昌信）教授，主要从事多重zeta值（Multiple zeta values, 简称MZVs）及其相关变形的算术和代数性质的研究。曾主持国家自然科学基金青年项目，安徽省自然科学基金青年项目和安徽省教育厅高校重点项目各1项，正在主持安徽省自然科学基金面上项目1项。已在Mathematische Zeitschrift, Journal of Algebra, Forum Mathematicum, Journal of Number Theory, European Journal of Combinatorics等期刊发表论文70余篇。

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