主持人：罗栗
摘要：
We will present a canonical basis character formula for the irreducible modules in parabolic BGG-type categories, including the category of finite-dimensional modules, for finite W-(super)algebras of type A. These categories categorify the tensor product modules of irreducible polynomial representations (and their duals) over a quantum group of type A. Moreover, the standard modules and irreducible modules in these categories categorify the standard basis and Lusztig's dual canonical basis in the tensor product modules. This is joint work with Shun-Jen Cheng.
报告人简介：
王伟强，美国弗吉尼亚大学数学系Gordon Whyburn教授，美国数学会会士，国际上极具影响力的表示论研究专家。他在李超代数、i-量子群等方面的多项工作发表在Inv. Math., Duke Math.J., Memoirs AMS 等著名数学期刊上。曾获2020年度美国数学会Chevalley奖，受邀在2022年ICM上作45分钟邀请报告。此外，王伟强教授还担任Int. Math. Res. Not.，Lett. Math. Phys. 等多个国际重要数学期刊的编委。
