Description
Involutions on symplectic singularities
Okounkov said, "Symplectic singularities are the Lie algebras of the 21st century". Then involutions on symplectic singularities are the symmetric spaces of the 21st century. I will study the case of certain (Q)uiver varieties of type A, which are also intersections of (N)ilpotent cone of GL and slices, affine (G)rassmannian slices of GL, and also (C)oulomb branches of quiver gauge theories of type A. Either description, except (C), gives natural involutions whose fixed point sets are the same type of varieties (Q),(N),(G) associated with classical groups. Since fixed point sets are different, they are different involutions. I will explain how to understand all involutions in quiver varieties (myself, Yiqiang Li) and also identify fixed point sets with Coulomb branches of certain variants of quiver gauge theories (on-going projects with other people).
