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Derived representation type and field extensions - 章超 教授 (贵州大学)

作者:   来源:  时间:2021-07-26

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题目:Derived representation type and field extensions

报告人: 章超 教授  (贵州大学)

时间:2021年7月26日(周一)上午10:00-10:50

地点:教二727

Abstract

In this talk, results on derived representation type under the field extensions will be reported. A finite-dimensional k-algebra A is 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 homotopy and derived categories. If k admits a finite separable field extension which is algebraically closed, 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.


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