"Non UBC"@en . "DSpace"@en . "Sierra, Susan"@en . "2017-03-16T05:06:00Z"@* . "2016-09-14T10:33"@en . "Let $k$ be an algebraically closed field of characteristic zero. For any positive integer $n$, we construct a Calabi-Yau algebra $R(n)$, which induces a Poisson deformation of $k[x_1, \dots, x_n]$ and generalises a construction given by Pym when $n=4$. Modulo scalars, the graded automorphism group of $R(n)$ is isomorphic to $k$, and we consider not only $R(n)$ but its Zhang twist $R(a,n)$ by the automorphism corresponding to $a$. Each $R(a,n)$ induces a Poisson structure on $k[x_1, \dots, x_n]$ in the semiclassical limit, and we study this structure. We show that the Poisson spectrum of the limit is homeomorphic to $\operatorname{Spec} R(a,n)$, and explicitly describe $\operatorname{Spec} R(a,n)$ as a union of commutative strata.\n\nThis is joint work with Cesar Lecoutre."@en . "https://circle.library.ubc.ca/rest/handle/2429/60924?expand=metadata"@en . "63 minutes"@en . "video/mp4"@en . ""@en . "Author affiliation: University of Edinburgh"@en . "10.14288/1.0343244"@en . "eng"@en . "Unreviewed"@en . "Vancouver : University of British Columbia Library"@en . "Banff International Research Station for Mathematical Innovation and Discovery"@en . "Attribution-NonCommercial-NoDerivatives 4.0 International"@en . "http://creativecommons.org/licenses/by-nc-nd/4.0/"@en . "Faculty"@en . "BIRS Workshop Lecture Videos (Banff, Alta)"@en . "Mathematics"@en . "Associative rings and algebras"@en . "Algebraic geometry"@en . "Algebraic structures"@en . "A family of quantized projective spaces"@en . "Moving Image"@en . "http://hdl.handle.net/2429/60924"@en .