代数几何研讨班：Poincare series and McKay-Slodowy Correspondence

数学研究所

学术报告

代数几何研讨班

报告人: 张红莲 教授 (上海大学)
    

题  目：Poincare series and McKay-Slodowy Correspondence
   

时  间：2024.11.10（星期日）10：00 - 11：10
   

地  点：思源楼 S817
   

摘  要：

Let N be a normal subgroup of a finite group G and V be a fixed finite-dimensional G-module. The Poincare series for the multiplicities of induced modules and restriction modules  in the tensor algebra T(V ) = ⊕k≥0V ⊗k are studied in connection with the McKay-Slodowy correspondence. In particular, it is shown that the closed formulas for the Poincare series associated with the distinguished pairs of subgroups of SU2 give rise to the exponents of all untwisted and twisted affine Lie algebras except A2n¬(2). This talk is based on the joint work with Prof. Jing and Danxia Wang.