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Steklov Mathematical Institute Seminar
January 17, 2019 16:00, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)
 


Non-commutative algebraic geometry: why and how

D. Kaledin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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D. Kaledin
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Abstract: Non-commutative algebraic geometry is a relatively new subject that has recently seen rapid progress. In particular, it turned out to be possible to prove some strong general theorems such as a non-commutative version of the Hodge-to-de Rham Degeneration. But the subject is still not too well known to the general mathematical audience. Avoiding technical details, I will try to give a general description of non-commutative algebraic geometry, with its motivations, applications, and results (both proved and conjectural).

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