
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:

20141219
(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 DengDuXiao using RingleHall 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).

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