Seminar in Representation Theory 主講者: 賴俊儒 先生 (University of Virginia) 講題: An elementary approach to monomial and canonical bases of quantum affine $gl_n$ 時間: 2014-12-19 (Fri.)  15:00 - 16:00 地點: 數學所 609 研討室 (台大院區) Abstract: In 1990 Beilinson, Lusztig and MacPherson provided a geometric realization of modified quantum $gl_n$ and its canonical basis. An essential step of their work is a construction of a monomial basis. Recently, Du and Fu provided an algebraic construction of canonical basis for modified quantum affine $gl_n$, which among other results used an earlier difficult construction of a monomial basis by Deng-Du-Xiao using Ringle-Hall algebra of the cyclic quiver. In this talk, we will give an elementary algebraic construction of a monomial basis and hence canonical basis for modified quantum affine $gl_n$. This is a joint work with Li Luo (Shanghai). || Close window ||