# Mathematics Colloquia and Seminars

In this talk we will discuss recent results on the category of weight modules with bounded sets of weight multiplicities of the direct limit Lie algebras $\mathfrak{sl} (\infty)$, $\mathfrak{o} (\infty)$, and $\mathfrak{sp} (\infty)$. Classification of the simple objects and properties of the category will be provided. This is a joint work with I. Penkov.