Inverting the quantum hamiltonian reduction

par Justine Fasquel (Dijon)

jeudi 4 déc. 2025, 15:00 → 16:00 Europe/Paris

Fokko du Cloux (Bat. Braconnier)

W-algebras form a rich family of vertex algebras, obtained from an affine vertex algebra via a sophisticated cohomological procedure known as quantum hamiltonian reduction. Although intricate, this reduction has the advantage of simplifying both the structure and the representation theory of W-algebras compared to that of the original affine vertex algebra. In this talk, I will discuss how to invert the procedure in order to reconstruct the more elaborated representation theory of the affine vertex algebra from that of its W-algebras.