Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
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Terra Incognita: Four dimensional Koszul Artin-Schelter regular algebras of dimension four
This is joint work and a report of work in progress by Vishal Bhatoy and Ravali Nookala. Regular algebras of dimension three were classified in 1987 by Artin-Schelter, and subsequently reclassified geometrically by Artin, Tate and Van den Bergh. This work can be considered to be the genesis of noncommutative algebraic geometry. The classification problem is open in dimension four despite a large amount of work by many people. We use the Kodaira-Spencer for about 40 known families to identify about 20 components of the moduli space which we cannot necessarily distinguish. We discuss a number of open problems.
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