A survey on power semigroups, with a focus on problems
主 讲 人 ：Salvatore Tringali 副教授
活动时间：11月07日19时00分
地 点 ：理科群1号楼D203室。Zoom 会议 https://us06web.zoom.us/j/84475767730?pwd=nSJeFrqBeJzesc3EMCO6pbwhLBdMtD.1 （会议号: 844 7576 7730 ；密码: 090149）
讲座内容：
We will provide an overview of power semigroups, a topic that has gained increasing attention in recent years due to its intriguing connections with other areas of mathematics (especially, algebra and additive combinatorics). We will begin by introducing the fundamental concepts and the key properties that define power semigroups, making sure to highlight examples that illustrate their significance. After laying this groundwork, we will shift the focus to some of the most compelling open problems in the field. These include questions related to isomorphisms, ideal structure, and combinatorial aspects that remain elusive despite substantial progress. By the end of the talk, we hope to inspire further research and discussion on these challenges.
主讲人介绍：
Salvatore Tringali holds a PhD in mathematics from the University of Lyon (Jean Monnet campus) in France and a PhD in electronic engineering from the University Mediterranea in Italy. Prior to joining the School of Mathematical Sciences at Hebei Normal University in February 2019, he was a visiting professor at Nankai University (Sep-Dec 2018); a Lise Meitner fellow (Mar 2016-Feb 2018) and a lecturer (Mar-Aug 2018) at the University of Graz in Austria; a research associate at Texas A&M University at Doha in Qatar (Nov 2014-Oct 2015); and a postdoctoral researcher at the Ecole polytechnique in France (Nov 2015-Feb 2016 and Jan-July 2014).
Salvatore Tringali has authored or co-authored approximately 40 research papers, many published in international journals such as Math. Proc. Cambridge Phil. Soc., Proc. Amer. Math. Soc., J. Comb. Theory Ser. A, J. Algebra, Pacif. J. Math., and Israel J. Math. His primary research interests lie at the intersection of algebra, combinatorics, and number theory. Outside of mathematics, he enjoys singing and watching movies or TV series about AI.
