Agnieszka Bodzenta-Skibinska
Agnieszka Bodzenta-Skibinska (University of Edinburgh) посетила Лабораторию алгебраической геометрии в мае-июне 2017 года.
2 июня она выступила с докладом Canonical divisors revisited - categorical approach на семинаре Лаборатории алгебраической геометрии.
Abstract:Properties of the canonical sheaf are one of the first invariants of an algebraic variety considered in birational geometry. I will describe how canonical divisors appear in the study of derived categories of birationally equivalent varieties. I will prove that, given a birational morphism, the canonical bundle and its restriction to relative canonical divisors provide a tilting generator for one category over another. I will also discuss related quasi-hereditary algebras and a system of t-structures.
2 июня она выступила с докладом Canonical divisors revisited - categorical approach на семинаре Лаборатории алгебраической геометрии.
Abstract:Properties of the canonical sheaf are one of the first invariants of an algebraic variety considered in birational geometry. I will describe how canonical divisors appear in the study of derived categories of birationally equivalent varieties. I will prove that, given a birational morphism, the canonical bundle and its restriction to relative canonical divisors provide a tilting generator for one category over another. I will also discuss related quasi-hereditary algebras and a system of t-structures.
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