报告名称：Free idempotent generated semigroups: maximal subgroups, general structures and word problems

主办单位：数学与统计学学院

报告专家：杨丹丹副教授

专家所在单位：西安电子科技大学

报告时间：2019年5月31日15:30--17:30

报告地点：数学与统计学学院

专家简介:杨丹丹，西安电子科技大学数学与统计学院，副教授，博士生导师。2014年7月获得英国约克大学基础数学博士学位。研究方向为半群代数理论，解决了自由幂等生成半群研究领域的几个公开问题，相关成果以长文发表于Advances in Mathematics、Journal of Algebra等期刊；主持国家级、省部级科研项目8项；获第十二届陕西省青年科技奖，宝钢教育奖，陕西省数学会青年教师优秀论文一等奖；2017年入选陕西省高校科协青年人才托举计划。

报告摘要：The set of idempotents of any semigroup carries the structure of a biordered set, which contains a great deal of information concerning the idempotent generated subsemigroup of the semigroup in question. This leads to the construction of a free idempotent generated semigroup $IG(E)$ šC the `free-est' semigroup with a given biordered set $E$ of idempotents. It was thought from the 1970s that all maximal subgroups of $IG(E)$ would be free, but this conjecture was false. In this talk, I will present my recent 5 years research progress joint with my collaborators on this topic, including maximal subgroups, general structures and word problems of $IG(E)$.