应304am永利集团官网邀请，俄罗斯乌拉尔联邦大学的Mikhail Volkov教授和SergeyGusev高级研究员将进行线下学术报告，欢迎全校师生参加。

报告时间：2023年11月13日(星期一)上午9:00

报告地点：理工楼631

报告题目一：Strongly nonfinitely based monoids

报告人：Mikhail Volkov教授

报告摘要：We show that the 42-element monoid of all partial order preserving

and extensive injections on the 4-element chain is not contained in any variety generated by a finitely based finite semigroup. This gives the very first example of a strongly nonfinitely based monoid that is not inherently nonfinitely based, thus solving a 20+ years old problem. The result has numerous implications for the finite basis problem for finite semigroups.

报告题目二：Monoid varieties with distributive or modular subvariety lattices

报告人：SergeyGusev高级研究员

报告摘要：A variety is distributive [modular] if its lattice of subvarieties is distributive [modular]. One of the most profound advances in the study of the lattice of semigroup varieties, due to Volkov in the early 1990s, is the complete description of modular varieties of semigroups and description of distributive varieties of aperiodic semigroups, i.e., semigroups all whose subgroups are trivial. In contrast, the problems of classifying modular varieties of monoids and distributive varieties of aperiodic monoids still remain open. In this talk, I will discuss recent progress in solving these problems.

报告人简介

Mikhail Volkov教授于1994年在圣彼得堡大学获得俄罗斯国家博士学位(Doctor of Science degree in Mathematics)，目前担任乌拉尔联邦大学代数与理论计算机科学研究所所长。2017年当选芬兰科学与文学院外籍院士，2019-2021年被德国研究基金遴选为Mercator教授。

Volkov教授在代数，自动机理论，字上的组合学，形式语言等重要研究方向上发表论文160余篇，他的文章并曾两次在CIAA会议获得最佳论文奖。目前担任Semigroup Forum执行主编，是International Journal of Algebra and Computation，the Journal of Automata, Languages and Combinatorics和Ural Mathematical Journal等国际期刊的编委。

SergeyGusev，俄罗斯乌拉尔联邦大学高级研究员，2019年获得乌拉尔联邦大学的数学博士学位，主要从事半群理论研究，先后在Bull. London Math. Soc.,Semigroup Forum等代数学领域的知名期刊上发表论文10余篇。

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2023年11月12日