* Title : Vertex Algebras: Natural Complexity from CFT and Recent Developments

* Speaker : Uhi Rinn Suh (Seoul National University)

* Abstract : 

Vertex algebras, mathematically formulated by Borcherds, are known to provide a rigorous framework for describing two-dimensional conformal field theory (CFT). In this talk, I will explain how the definition and inherent complexity of vertex algebras arise naturally from the perspective of CFT. We will then introduce several approaches that have been developed to overcome these complexities and to achieve a deeper understanding of vertex algebras. Finally, we will present recent results obtained within this viewpoint, emphasizing ongoing progress and directions in the study of vertex algebras.