PIRSA:17020027 Conference Mathematical physics

DOI10.48660/17020027

Conference/School: Hitchin Systems in Mathematics and Physics

Ginzburg, V. (2017). Symplectic geometry related to G/U and `Sicilian theories'. Perimeter Institute. https://pirsa.org/17020027

Ginzburg, Victor. Symplectic geometry related to G/U and `Sicilian theories'. Perimeter Institute, Feb. 15, 2017, https://pirsa.org/17020027 

@misc{ pirsa_PIRSA:17020027,
  doi = {10.48660/17020027},
  url = {https://pirsa.org/17020027},
  author = {Ginzburg, Victor},
  keywords = {Mathematical physics},
  language = {en},
  title = {Symplectic geometry related to G/U and {\textquoteleft}Sicilian theories{\textquoteright}},
  publisher = {Perimeter Institute},
  year = {2017},
  month = {feb},
  note = {PIRSA:17020027 see, \url{https://pirsa.org}}
}

Abstract

We construct an action of the Weyl group on the affine closure of the cotangent bundle on G/U. The construction involves Hamiltonian reduction with respect to the `universal centralizer' and an interesting Lagrangian variety, the Miura variety. A closely related construction produces symplectic manifolds which play a role in `Sicilian theories' and whose existence was conjectured by Moore and Tachikawa. Some of these constructions may be reinterpreted, via the Geometric Satake, in terms of the affine grassmannian.

Resources

Next talk

Related Talks