主持人：罗栗

报告人简介：
宋金峰，新加坡国立大学博士生。主要从事表示论及其与量子群，丛代数和几何的交叉研究，相关研究成果已发表在 Proc. London Math. Soc.、 Algebr. Represent. Theory 杂志上。


报告摘要：
Let G be a connected reductive group over an algebraically closed field. Let $\theta$ be a group involution and K be the fixed point subgroup. The affine quotient G/K is called a symmetric space. In this talk, I will describe a quantization of the algebra of regular functions on the symmetric space, together with a canonical basis on the quantized coordinate algebra. By the specialization, we get an integral model of the symmetric space and a good filtration on its coordinate algebra. Our construction makes essential use of the canonical bases arising from quantum symmetric pairs. The group G itself can be viewed as a symmetric space. In this talk, I will describe a quantization of the algebra of regular functions on the symmetric space, together with a canonical basis on the quantized coordinate algebra. By the specialization, we get an integral model of the symmetric space and a good filtration on its coordinate algebra. Our construction makes essential use of the canonical bases arising from quantum symmetric pairs. The group G itself can be viewed as a symmetric space. In this case, our construction recovers Lusztig’s construction of the Chevalley group schemes via quantum groups. This is joint work with Huanchen Bao.