Seminar
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Noncommutative Poisson surfaces
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As mentioned in my colloquium, an initial question about classifying difference and differential equations led me to want to understand noncommutative analogues of rationally ruled surfaces. I'll discuss some of the details involved in proving that any commutative Poisson (smooth projective) surface (not K3 or abelian) has a natural $1$-parameter family of noncommutative deformations parametrized in
terms of the Jacobian of the kernel of the Poisson structure, and extending most of the standard results on commutative rationally ruled surfaces to those surfaces. (It is currently planned for me to give two
more talks on 3/27; I'm happy to take requests for what those talks should cover.)