These notes cover the lectures of the first named author at 2021 IHES Summer School on
“Enumerative Geometry, Physics and Representation Theory” with additional details and …

We describe the action of the shifted Yangian of sl_2 on the cohomology groups of the Quot
schemes of 0-dimensional quotients on a smooth projective curve. We introduce a …

We show that Hilbert schemes of planar curve singularities and their parabolic variants can
be interpreted as certain generalized affine Springer fibers for, as defined by Goresky …

In this note we explicitly construct an action of the rational Cherednik algebra H 1, m/n (S n,
ℂ n) corresponding to the permutation representation of S n on the ℂ∗-equivariant …

For any connected reductive group G over CC, we revisit Goresky–Kottwitz–MacPherson's
description of the torus equivariant Borel–Moore homology of affine Springer fibers Sp _ γ …

arXiv:2210.01170v1 [math.AG] 3 Oct 2022 Page 1 arXiv:2210.01170v1 [math.AG] 3 Oct 2022
IRREDUCIBLE COMPONENTS OF HILBERT SCHEME OF POINTS ON NON-REDUCED …

In this note we explicitly construct an action of the rational Cherednik algebra $ H_ {1,
m/n}(S_n,\mathbb {C}^ n) $ corresponding to the permutation representation of $ S_n $ on …

6.2. The special affine chart where everything happens: U(n) 24 6.3. Stratification inside U(n)
and classifying the ideals in each stratum 27 6.4. Counting dimension and finding …

[19] P. Beri and A. Cattaneo, On birational transformations of Hilbert schemes of points on
K3 surfaces, Math. Z. 301, No. 2, 1537-1554 (2022) Zbl 1490.14064.[20] C. Keem and Y.-H …