Speaker : Mr. Chun-Ju Lai (University of Virginia) Title : An elementary approach to monomial and canonical bases of quantum affine $gl_n$ Time : 2014-12-19 (Fri) 15:00 - 16:00 Place : Seminar Room 617, Institute of Mathematics (NTU Campus) 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).