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Ramified and Unramified Motivic Multiple t-, T-and S-Values

作者:数宣   时间:2026-04-08   点击数:

报告题目: Ramified and Unramified Motivic Multiplet-,T-andS-Values

主讲人:徐策 安徽师范大学

报告摘要: 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 multiplet-values, Kaneko and Tsumura’s multipleT-values, and the multipleS-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 multipleT-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.

报告人简介: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。

邀请人:吕广世 数学学院教授

时间:2026年4月30日 10:00-11:00

地点:知新楼B924

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