报告人：高楠 教授 上海大学

报告时间：2020.12.9 （星期三）  10:00-11:00

地点：腾讯会议 ID 943662224

题目：Silting and tilting properties via abelian ladder

摘要：In the paper, we mainly investigate the silting objects, partial tilting objects and τ-rigid objects, which the crucial tools to do it are abelian recollements and ladders. We show that the silting and tilting properties are preserved by some functors in an abelian ladder and the associated intermediate extension functors. We glue the τ-rigid objects by the abelian ladder of some height. As a consequence, we glue the silting modules of a Morita context algebra by those of the involved algebras. A ladder of r-height 2 in which the module category of the Gorenstein Auslander Algebra A(Gproj) lies in are constructed for a finite-dimensional algebra Λ of finite Gorenstein-projective type, and the silting and tilting properties are investigated. As a byproduct, we show an Auslander-type Theorem, which says that there exists a finite-dimensional algebra Γ of global dimension at most 2 and its idempotent e such that there are algebraic isomorphisms B=eΓe, for an algebra Λ is of finite representation type and its Auslander algebra B. This is based on the joint work with C. Pasaroudakis.

高楠，上海大学数学系教授、博士生导师。长期从事代数表示论和同调代数等研究工作，在J. Algebra、Proc. Amer. Math. Soc.、Algebr. Represent. Theory等国际重要SCI期刊上发表学术论文20余篇。先后主持过多项国家自然科学基金。多次受邀在国内外学术会议上作大会报告。