讲座地点：腾 讯 ID：273 482 441 密码：123456
In this talk, some results on derived representation type will be introduced. A finite-dimensional algebra A is defined to be C-dichotomic if it has the dichotomy property of the representation type on complexes of projective modules. C-dichotomy implies the dichotomy property of representation type on the level of homotopy category and derived category. If k admits a finite separable field extension K/k such that K is algebraically closed, the real number field for example, then A is C-dichotomic. As a consequence, the second derived Brauer-Thrall type theorem holds for A, i.e., A is either derived discrete or strongly derived unbounded. This is a joint work with Li Jie.
章超，贵州大学副教授，主要研究领域为代数表示论，在J. Algebra，Science in China等著名SCI杂志上发表论文多篇，主持国家自然科学基金青年项目和地方合作项目。