Tommaso Scognamiglio

collaborators

3 papers

math.AG2026

Connected components of real loci in moduli spaces of vector and Higgs bundles over a Klein surface

Florent Schaffhauser, Tommaso Scognamiglio

Let $X$ be a Riemann surface of genus $g ⩾ 2$ and let $I ¨ : X \to X$ be an antiholomorphic involution on $X$ . Let $N (r, d)$ be the moduli space of semistable vector…

math.RT2026

$PGL_{n} (C)$ -character stacks and Langlands duality over finite fields

Emmanuel Letellier, Tommaso Scognamiglio

In this paper we study the mixed PoincarÃ© polynomial of generic $PGL_{n} (C)$ -character stacks with coefficients in some local systems arising from the conjugacy cl…

math.AG2025

Real Bialynicki-Birula flows in moduli spaces of Higgs bundles

Florent Schaffhauser, Tommaso Scognamiglio

Let $X$ be a compact Riemann surface $X$ of genus $⩾ 2$ and let $I ¨ : X \to X$ be an anti-holomorphic involution. Using real and quaternionic systems of Hodge bundles, we stu…

Connected components of real loci in moduli spaces of vector and Higgs bundles over a Klein surface

PGLn​(C)-character stacks and Langlands duality over finite fields

Real Bialynicki-Birula flows in moduli spaces of Higgs bundles

$PGL_{n} (C)$ -character stacks and Langlands duality over finite fields