Schur-Weyl duality, old and new
賴俊儒教授中央研究院數學所 15:30 – 17:00 Tòa nhà Hồng Kinh M107
Abstract：
One milestone in the beginning stage of representation theory is Schur's 1901 thesis, which focuses on polynomial representations of the general linear groups. Schur later exhibits a double centralizer property (now known as the Schur-Weyl duality) that serves as a bridge between the representation theory of infinite-dimensional algebras and that of finite-dimensional algebras. A hundred years later, people continue to explore and build upon Schur's ideas. In this talk, I will be focusing on certain modern versions of the Schur-Weyl duality, as well as related open problems.