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Torsion pairs in silting theory-Prof. Dr. Lidia Angeleri Huegel (University of Verona, Italy)

作者:   来源:  时间:2017-03-30

题  目: Torsion pairs in silting theory

报告人: Prof. Dr. Lidia Angeleri Huegel  (University of Verona, Italy)

摘 要:

In a compactly generated triangulated category, we consider t-structures induced by silting objects or by their duals, cosilting objects. We show that the heart of such t-structures is a Grothendieck category if and only if the (co)silting object satisfies a purity assumption. In the cosilting case, the previous conditions are also related to the coaisle of the t-structure being a definable subcategory. As an application, the heart of any nondegenerate compactly generated t-structure is a Grothendieck category. This is joint work with Jorge Vitória and Frederik Marks.

时 间:2017年3月30日(周四)14:00-15:00

地 点: 首都师范大学新教二楼611教室

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