This special issue contains the second of three parts of the Proceedings of the Taipei Winter School and Conference on Representation Theory held on December 16-23, 2010. The first part appeared in the previous issue, while the last part will appear in the next issue of the Bulletin of the Institute of Mathematics Academia Sinica N.S.. These three issues are edited by Profs. Shun-Jen Cheng and Weiqiang Wang.