Jun 3 – 7, 2024
SISSA
Europe/Rome timezone

Classical W-algebras and generalized Drinfeld-Sokolov hierarchies

Jun 7, 2024, 9:30 AM
50m
128 (SISSA)

128

SISSA

Via Bonomea 265, Trieste
Lecture

Speaker

Daniele Valeri (Roma III)

Description

Classical affine W-algebras W(g,O) are algebraic structures associated to a simple Lie algebra g and a nilpotent orbit O. In this talk we want to review their definition, the construction (for all but seven nilpotent orbits for exceptional Lie algebras) of an integrable hierarchy of PDEs known as generalized Drinfeld-Sokolov hierarchy and how to derive the tau-structure of the hierarchy.

Primary author

Daniele Valeri (Roma III)

Presentation materials

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