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数学与信息科学学院系列学术报告

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讲座题目:数学与信息科学学院系列学术报告
讲座人: Aslak Buan教授、周宇博士
讲座时间:9:30
讲座日期:2017-7-8
地点:数学与信息科学学院学术报告厅

讲座题目1Sequences of Tau-rigid Modules

讲座时间:9:30-10:30

报告人:Aslak Buan教授

讲座内容简介:

    This is joint work (in progress) with Robert Marsh.Igusa and Todorov recently defined and studied signed exceptional sequences for hereditary algebras. Inspired by their work, and by tau-tilting theory as introduced by Adachi, Iyama and Reiten, we introduce sequences of tau-rigid modules for arbitrary finite dimensional algebras, with and without sign. In particular, we prove that there is a bijection between such sequences of a given length l, and ordered partial support tau-tilting objects with l indecomposable direct summands, generalizing a theorem of Igusa and Todorov in the hereditary case.

讲座人简介:

    Aslak BuanNorwegian University of Science and Technology教授,代数表示论方面的专家,主要工作集中于有限维结合代数的表示,同调代数以及cluster代数等方面。 工作见于《Adv. Math.》、Trans. Amer. Math. Soc.Amer. J. Math.Compos. Math.Math. Z.Int. Math. Res. Not.J. Lond. Math. Soc.J. Algebra等杂志。


讲座题目23-Calabi-Yau Categories from Decorated Marked Surfaces

讲座时间:10:30-11:30

报告人:周宇博士

讲座内容简介:

    For any triangulation of a decorated marked surface, there is an associated graded algebra whose perfect category D is 3-Calabi-Yau. In this talk, I will associate to each simple curve an object in D and interpret morphism spaces between objects via intersections between curves. I will also explain how a group of homeomorphisms of the surface acts on the category D. This is joint work with Yu Qiu.

讲座人简介:

周宇,2013年博士毕业于清华大学数学系,清华大学丘成桐数学中心助理教授,研究方向包括有限维结合代数表示论和cluster代数。工作见于Adv. Math.》、J. Lond. Math. Soc.J. Algebra等杂志。

 

 
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