Algebra seminar - Isambard Goodbody
| Dates: | 23 April 2024 |
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| Times: | 14:00 - 15:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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| Speaker: | Isambard Goodbody |
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Title: Reflexivity and Hochschild Cohomology
Abstract: Smooth and proper DG-categories are noncommutative generalisations of smooth and proper schemes. They also include finite dimensional algebras of finite global dimension. Kuznetsov and Shinder defined reflexive DG-categories as a (vast) generalisation, they include all projective schemes and all finite dimensional algebras. Smooth and proper DG-categories can also be characterised as the dualizable objects in the monoidal category of DG-categories localised at Morita equivalences. I’ll explain how by using a monoidal characterisation of reflexive DG-categories, one can show that the Hochschild cohomology of a reflexive DG-category is isomorphic to that of its derived category of cohomologically finite modules.
Speaker
Isambard Goodbody
Organisation: University of Glasgow
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Frank Adams 1
Alan Turing Building
Manchester
