Luca Dal Molin

Luca Dal Molin

he/him

PhD Student at University of Trento. Working on moduli spaces and moduli stacks in the scope of real algebraic curves.

Talks and presentations

Maximality of the Moduli Stacks for Vector Bundles over Riemann Surfaces

June 10, 2026

Talk, Università degli Studi di Trento, Trento, Italy

We explore the concept of maximality for a moduli stack, giving a new definition for this property. This definition is given by imposing conditions on the Borel fibration for the Galois action, mimicking the classical construction for real varieties. It is applied in the context of the moduli stack of vector bundles over a Riemann surface equipped with an antiholomorphic involution induced by the Galois action. We prove that the moduli stack of vector bundles of fixed rank and degree is maximal if and only if the Riemann surface is maximal in the classical sense. This research was motivated by the classical result for the coarse moduli space of vector bundles, and we link back to it when the rank and degree are coprime.

What Are… tropical curves and the Riemann-Roch Theorem

June 10, 2026

Talk, Università degli Studi di Trento, Trento, Italy

Seminar done in the scope of Mathematical Colloquium organized by University of Trento as preparation for the undergraduate and graduate students to higher level seminar given by important speaker.

Maximality of the Moduli Stacks for Vector Bundles over Riemann Surfaces

April 08, 2026

Talk, Università di Pavia, Pavia, Italy

We explore the concept of maximality for a moduli stack, giving a new definition for this property. This definition is given by imposing conditions on the Borel fibration for the Galois action, mimicking the classical construction for real varieties. It is applied in the context of the moduli stack of vector bundles over a Riemann surface equipped with an antiholomorphic involution induced by the Galois action. We prove that the moduli stack of vector bundles of fixed rank and degree is maximal if and only if the Riemann surface is maximal in the classical sense. This research was motivated by the classical result for the coarse moduli space of vector bundles, and we link back to it when the rank and degree are coprime.

A Primer on the Moduli Stack of Real Vector Bundles

August 29, 2024

Talk, Università degli Studi di Trento, School of Innovation, Trento, TN, Italy

Short talk about my research project done during the SinG School in Geometry - Irreducibile Holomorphic Symplectic Manifolds: Group Actions and Moduli Spaces.