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Lie Theory: “Deformations of symplectic singularities and Orbit method”

Dr. Ivan Loseu, Northeastern University

Friday, November 3, 2017
  12:10–1 p.m.


Location: Surge Building 268
  Parking Information

Category: Seminar

Description:

Symplectic singularities were introduced by Beauville in 2000. These are especially nice singular Poisson algebraic varieties that include symplectic quotient singularities and the normalizations of orbit closures in semisimple Lie algebras. Poisson deformations of conical symplectic singularities were studied by Namikawa who proved that they are classified by the points of a vector space. Recently I have proved that quantizations of a conical symplectic singularity are still classified by the points of the same vector spaces. I will explain these results and then apply them to establish a version of Kirillov's orbit method for semisimple Lie algebras.



Additional Information: Math Seminars

Open to: General Public
Admission: Free
Sponsor: Mathematics

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