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Seminar of the Department of Algebra
November 22, 2011 15:00, Moscow, Steklov Mathematical Institute, Room 540 (8 Gubkina)
 


Some varieties related to the commuting variety of a complex reductive ie algebra

J.-Y. Charbonnel

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Abstract: Recently, V. Ginzburg has wrote an article about the isospectral commuting variety. In my talk, I will discuss about some varieties which are constructed analogously to the isospectral commuting varieties. These varieties are subvarieties of varieties having very simple desingularizations. For instance, in a certain sense, the nullcone of the square cartesian of a reductive Lie algebra is related to the isospectral commuting variety. I will try to give some properties of the normalizations of these varities. This a joint work with Mouchira Zaiter and it is still in progress.

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