Résumé |
In the past decade, a kind of geometric space known as symplectic singularities
have become a popular topic for an increasing community of physicists and
mathematicians. My goal is to explain the reasons for this sudden interest.
Within the context of supersymmetric theories, they have incarnations as
hyperKähler quotients, Higgs branches, Coulomb branches, they serve as a tool in
the study of SCFTs, allow to explore RG flows and deformations, and are connected
to vertex operator alegras. In this review talk, I will recall the basic
definitions and examples, and mention a few very recent advances and open
problems. |