Seminario del 2022

Giugno
07
2022
Marco Trevisiol (Sapienza Università di Roma)
Normality of Closures of Orthogonal Nilpotent Symmetric Orbits
nell'ambito della serie: SEMINARIO DI ALGEBRA E GEOMETRIA
algebra e geometria
Kraft and Procesi showed that the Zariski closure of the conjugacy classes of type A are all normal and, in type B, C and D, they have described which ones are normal. In their work the Lie group acts on its Lie algebra by the adjoint action. In types B, C, D, a similar question can be asked for the action of the Lie group on the odd part of the general linear Lie algebra; that is the orthogonal group acting on the symmetric matrices and the symplectic group acting on the symmetric-symplectic matrices. Ohta showed that in the latter case every orbit has normal closures while this conclusion is not valid in the former case. In this talk I will present the main result of my Ph.D. thesis which gives a combinatorial description of the orbit whose closures are normal in the orthogonal case.
organizzato da: Jacopo Gandini
nell'ambito del Progetto P.R.I.N. PRIN 2017 MIGLIORINI del prof. Luca Migliorini

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