主 讲 人 ：Salvatore Tringali    副教授

活动时间：2025-09-21 14:00:00

地      点 ：数学科学学院D203报告厅(Zoom: https://us06web.zoom.us/j/86763384947?pwd=qXhOzOcHvaaiw2jqADI8iqNavdgm14.1, ID: 86763384947; passcode: 612593)

主办单位：数学科学学院

讲座内容：

Let $S$ be a multiplicatively written semigroup. Endowed with the operation of setwise multiplication induced from $S$ and defined by $(X, Y) \mapsto \{xy \colon x \in X,\, y \in Y\}$, the family of non-empty subsets of $S$ forms a semigroup in its own right, hereafter denoted by $\mathcal{P}(S)$.

The term "power semigroup" is generically used for various subsemigroups of $\mathcal{P}(S)$ that, in a certain vague sense, lie between $S$ and $\mathcal{P}(S)$ itself. I will review recent progress on power semigroups and  highlight some questions and open problems that are currently guiding the evolution of the theory.

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 Feb 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 postdoc at the École polytechnique in France (Nov 2015-Feb 2016 and Jan-July 2014).

He has authored or co-authored approximately 40 research papers, some 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.