[Dottorcomp] Reminder: Seminari di Geometria e Algebra - 8 aprile 2026 (domani)

[Davide Bricalli]

Il giorno MERCOLEDI 8 aprile (domani)
in Aula Beltrami
alle ore 16,00 precise

Luca Dal Molin (Università degli Studi di Trento)

terrà un seminario dal titolo:

Titolo: Maximality of the Moduli Stacks for Vector Bundles over Riemann
Surfaces

Abstract: 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. This is a joint work with Florent Schaffhauser.

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Davide Bricalli