2 citations · 2 across the 5 of their papers we have counts for
6 papers
On the local behavior of weighted orbital integrals and the affine Springer fibers
Zongbin Chen
The paper deals with two problems that seem to be of different nature: the local behavior of the weighted orbital integrals and the dependence of the affine Springer fibers on the…
Truncated affine Springer fibers and Arthur's weighted orbital integrals
Zongbin Chen
We explain an algorithm to calculate Arthur's weighted orbital integral in terms of the number of rational points on the fundamental domain of the associated affine Springer fiber.…
Truncated affine grassmannians and truncated affine Springer fibers for
Zongbin Chen
We state a conjecture on how to construct affine pavings for cohomologically pure projective algebraic varieties, which admit an action of torus such that the fixed points and -…
Geometric construction of generators of CoHA of doubled quiver
Zongbin Chen
Let be the doubled of a quiver. According to Efimov, Kontsevich and Soibelman, the cohomological Hall algebra (CoHA) associated to is a free super-commutative algebra. In t…
On the fundamental domain of affine Springer fibers
Zongbin Chen
For a connected reductive group, $γ\in \kg(F)$ semisimple regular integral, we introduce a fundamental domain for the affine Springer fibers $\xx_γ$. There is a beautiful…
The -stability on the affine grassmannian
Zongbin Chen
We introduce a notion of -stability on the affine grassmannian $\xx$ for the classical groups, this is the local version of the -stability on the moduli space of Higgs bundle…