Q. Tran

collaborators

3 papers

math.CO2026

The Laplacian $S_{n, n}$ conjecture is true

Nathaniel Johnston

The " $S_{n, n}$ conjecture" asserts that there does not exist a simple graph on $n$ vertices with Laplacian spectrum ${0, 1, 2, \dots, n - 1}$ for any integer $n \geq 2$ . This conjectu…

math.AG2026

Perverse Euler Characteristics of Hermitian Locally Symmetric Spaces

Mert Akdenizli, Quoc-Anh Tran

We prove that finite-volume locally Hermitian symmetric spaces of noncompact type have nonnegative perverse Euler characteristics. To show this, we obtain a nefness result for the…

math.AG2026

On the nilpotent residue non-abelian Hodge correspondence for higher-dimensional quasiprojective varieties

Quoc-Anh Tran

In arXiv:2408.16441, the authors proved that on a projective log smooth variety $(X ˉ, D)$ there is a continuous bijection between the moduli space $M^{\mathrm{nilp}}_{\mathrm{…

The Laplacian Sn,n​ conjecture is true

Perverse Euler Characteristics of Hermitian Locally Symmetric Spaces

On the nilpotent residue non-abelian Hodge correspondence for higher-dimensional quasiprojective varieties

The Laplacian $S_{n, n}$ conjecture is true