5 papers
On the affine Springer fibers inside the invariant center of the small quantum group
Nicolas Hemelsoet, Oscar Kivinen, Anna Lachowska
Let denote the small quantum group associated with a simple Lie algebra and a root of unity . In [9], a geometric realization of $Z(\…
A Lie-theoretic generalization of some Hilbert schemes
Oscar Kivinen
We define several versions of a class of varieties attached to a complex reductive Lie algebra , generalizing the Hilbert scheme of points on the p…
The Hilb-vs-Quot Conjecture
Oscar Kivinen, Minh-Tâm Quang Trinh
Let be the complete local ring of a complex plane curve germ and its normalization. We propose a "Hilb-vs-Quot" conjecture relating the virtual weight polynomials of the Hi…
Discriminants and motivic integration
Oscar Kivinen, Alexei Oblomkov, Dimitri Wyss
We study invariants of a plane cuve singularity coming from motivic integration on symmetric powers of a formal deformation of . We show that a natural discriminant inte…
The affine Springer fiber-sheaf correspondence
Eugene Gorsky, Oscar Kivinen, Alexei Oblomkov
Given a semisimple element in the loop Lie algebra of a reductive group, we construct a quasi-coherent sheaf on a partial resolution of the trigonometric commuting variety of the L…