**2022년 10월 QSMS Monthly Seminar**

**Date:**10월 28일 금 오후 2시 ~ 5시**Place:**129동 309호**Contents:**

**Speaker : **권재훈 (오후 2시)

**Title : **Oscillator representations of quantum affine algebras

**Abstract** :

We introduce a category of infinite-dimensional representations of the quantum affine algebras of type A. We show that this category has a strong connection with the category of finite-dimensional representations of the quantum affine algebra of type A, and explain this connection using the representations of quantum affine superalgebras. This talk is based on joint work with S.M.Lee.

**Speaker : **이동수 (오후 4시)

**Title : **On the Alexander polynomials of homology handles

**Abstact** :

The Alexander polynomial is well known for a knot invariant, and it gives some necessary conditions for a knot to be a slice knot. Moreover, a knot with trivial Alexander polynomial is topologically slice. Similarly, the polynomial can be defined for 3-dimensional homology handles, which are compact, orientable 3-manifolds with the integral homology of S^1 × S^2. In this talk, we discuss similar results for homology handles under a certain equivalence relation.