CRM: Centro De Giorgi

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Minicourses of the session "Lie Theory and Representation Theory"

course: Finite W-algebras, primitive ideals and modular representations -Minicourse of the session "Lie Theory and Representation Theory"

speaker: Alexander Premet (University of Manchester)

abstract: Let \(G\) be a simple algebraic group over \(\mathbb{C}\) with Lie algebra \(\mathfrak{g}\) and let \(e\) be a nilpotent element of \(\mathfrak{g}\). The aim of this lecture course will be the interplay between finite dimensional irreducible representations of the finite \(W\)-algebra \(U(\mathfrak{g},e)\) and primitive ideals of the universal enveloping algebra \(U(\mathfrak{g})\) whose associate variety coincides with the Zariski closure of the adjoint \(G\)-orbit of \(e\). Some applications to the representation theory of the modular counterpart of \(\mathfrak{g}\) will also be discussed.


timetable:
Mon 19 Jan, 14:00 - 16:00, Aula Dini
Wed 21 Jan, 14:00 - 16:00, Aula Dini
Tue 27 Jan, 10:00 - 12:00, Aula Dini
Thu 29 Jan, 10:00 - 12:00, Aula Dini
Thu 5 Feb, 10:00 - 12:00, Aula Dini
Fri 6 Feb, 10:00 - 12:00, Aula Dini
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