* Title: Monoidal categorifications for cluster algebras

* Speaker: Euiyong Park(University of Seoul)

* Abstract:

Monoidal categorification is a categorical-approach to studying (quantum) cluster algebras from the perspective of monoidal categories. In this talk, I will discuss the notion of categorification and explain how a monoidal category can lift the cluster algebra structure to the categorical level. If time permits, then I will explain my recent result on the monoidal categorification for quantum affine algebras. This is partially based on joint works with Masaki Kashiwara, Myungho Kim and Se-jin Oh.