Symplectic singularities in Relative Langlands duality for products of general linear groups

@misc{dias2026symplectic,
  title = {{Symplectic singularities in Relative Langlands duality for products of general linear groups}},
  author = {Bruno da Silveira Dias and Victor Ginzburg},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.08464},
  eprint = {2611.08464},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.08464},
}

TY  - UNPB
TI  - Symplectic singularities in Relative Langlands duality for products of general linear groups
AU  - Bruno da Silveira Dias
AU  - Victor Ginzburg
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.08464
UR  - https://arxiv.org/abs/2611.08464
AB  - It was shown by Braverman-Finkelberg-Nakajima that the regular perverse sheaf on the affine Grassmannian of type A is isomorphic to the ring object associated to a Gelfand-Tsetlin quiver. We use this result to identify, for any finite dimensional representation N of a product of general linear groups, the relative Langlands dual (T^*N)^∨ of T^*N with the Coulomb branch of a suitable representation. By a result of Bellamy, this implies that (T^*N)^∨ has symplectic singularities.
ER  -