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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Non-abelian Derived Categories and Derived Schur and Weyl Functors
非阿贝尔派生范畴 派生舒尔 外尔函子
2023/4/13
We'll start with reviewing Quillen and Lurie's theory of non-abelian derived categories (also known as the "animation" theory). Following that, we will apply this theory to generalize the classical Sc...
Stratifications of derived categories from tilting modules over tame hereditary algebras
Adele ring Recollement Stratification Tame hereditary algebra Tilting module Universal localization
2011/8/24
Abstract: n this paper, we consider the endomorphism algebras of infinitely generated tilting modules of the form $R_{\mathcal U}\oplus R_{\mathcal U}/R$ over tame hereditary $k$-algebras $R$ with $k$...
期刊信息
篇名
Derived categories, tilted algebras, and Drinfel’d doubles
语种
英文
撰写或编译
撰写
作者
彭联刚,谭友军
第一作者单位
四川大学
刊物名称
Journal of algebra
页面
266.723-748,2003
出版日期
2003年
月
日
文章标识(ISSN)
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Failure of Brown representability in derived categories
Brown representability derived categories
2010/10/29
Let T be a triangulated category with coproducts, C the full subcategory of compact objects in T. If T is the homotopy category of spectra, Adams proved the following in [Adams71]: All contravariant ...
It is becoming increasingly difficult for geometers and even physicists to avoid papers containing phrases like `triangulated category', not to mention derived functors. I will give some motivation f...
Mirror symmetry and actions of braid groups on derived categories
Mirror symmetry actions braid groups derived categories
2010/10/29
Talk given at Harvard, January 1999, published in the Proceedings of the Harvard Winter School on mirror symmetry, vector bundles and lagrangian cycles, 1999, International Press. Surveys the joint wo...
Braid group actions on derived categories of coherent sheaves
Braid group derived categories coherent sheaves
2010/10/29
This paper gives a construction of braid group actions on the derived category of coherent sheaves on a variety $X$. The motivation for this is Kontsevich's homological mirror conjecture, together wit...