タイトル： Canonical bases and Macdonald polynomials

アブストラクト：

I would like to talk about some connections between dual canonical bases in level 1 Fock space and Macdonald polynomials following a paper due to J.Beck, I.B.Frenkel and N.Jing and lectures due to B.Leclerc at the Isaac Newton Institue. Here, we regard Fock space as a $U_q$-module where $U_q$ is a quantum group of type $A_{e-1}^{(1)}$. Moreover, we need suitable choices of $p$ and $t$ in Macdonald polynomials. ($t=q^{-2},p=q^{-2n}$.)