Introduction to categorification
This course is to give an introduction to categorification from topological and algebraic point of view. We will discuss Khovanov homology as a categorification of the Jones polynomial. On the algebraic side, we will discuss categorified quantum group theory, due to Khovanov-Lauda, Rouquier and Webster.
 M. Khovanov, A categorification of the Jones polynomial, Duke Math. J. 101 (2000), no. 3, 359-426, arXiv:math/9908171.
 A. D. Lauda, A categorification of quantum sl(2), Advances in Mathematics, 225, Issue 6, (2010), pp 3327-3424, arXiv:0803.3652. Khovanov and Asaeda, Notes on link homology, arXiv:0804.1279.