报告时间：2026年7月14日（星期二）9:00-11:30

报告地点：翡翠科教楼B1703

报告人: Jasson Vindas 副教授

工作单位：比利时根特大学

举办单位：数学学院

报告简介：

Hyperfunctions, introduced by Mikio Sato in 1959, extend the concept of generalized functions beyond standard distributions. Unlike Schwartz distributions, which rely on functional analysis and smooth test functions, hyperfunctions are defined using algebraic geometry and sheaf cohomology. This presentation provides a gentle introduction to the core concepts of hyperfunctions. We will first explore their intuitive definition as the boundary values of holomorphic functions. Next, we will compare hyperfunctions with standard distributions to highlight their unique advantages, such as the lack of structural restrictions on singularities.Finally, we will briefly discuss their powerful applications in solving linear partial differentialequations and advancing algebraic analysis. This talk requires no advanced background and aims to make these abstract mathematical tools intuitive and accessible.

报告人简介：

学习经历：Louisiana State University (LSU), Baton Rouge, USA • Ph.D. in Mathematics, 2003–2009

工作经历：Ghent University 2012– Assistant Professor (2012-2017), Associate Professor (since 2017)Research Foundation Flanders - Ghent University 2009–2012 Postdoctoral Researcher

学术成就：Member of Editorial Boards• Analysis Mathematica• Complex Analysis and Operator Theory• Bulletin Mathématique de la Société des Mathématiciens de la République MacédoineService to the Mathematical Community• Board member, International Society for Analysis, its Applications and Computations (2016-present)• Executive committee member, International Association for Generalized Functions (2016-present)• Board member, Belgian Mathematical Society (2014-2021)