Anton Mellit

collaborators

3 papers

math.AG2026

Automorphisms and deformations of regular semisimple Hessenberg varieties

Patrick Brosnan, Laura Escobar, Jaehyun Hong +4

We show that regular semisimple Hessenberg varieties can have moduli. To be precise, suppose $X$ is a regular semisimple Hessenberg variety of codimension $1$ in the flag variety $…

math.AG2025

Cohomology rings of character varieties

Anton Mellit

In this talk I give an introduction and present some recent progress towards understanding the cohomology rings of character varieties of Riemann surfaces, such as the proof of the…

math.AG2025

$P = W$ via $H_{2}$

Tamas Hausel, Anton Mellit, Alexandre Minets +1

Let $H_{2}$ be the Lie algebra of polynomial Hamiltonian vector fields on the symplectic plane. Let $X$ be the moduli space of stable Higgs bundles of fixed relatively prim…

Automorphisms and deformations of regular semisimple Hessenberg varieties

Cohomology rings of character varieties

P=W via H2​

$P = W$ via $H_{2}$