题 目： Torsion pairs in silting theory
报告人： Prof. Dr. Lidia Angeleri Huegel (University of Verona, Italy)
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.
地 点： 首都师范大学新教二楼611教室