Stability conditions for coherent systems on integral curves

9 Oct 2025, 09:30
1h
Littoral Hotel

Littoral Hotel

João Pessoa, Brazil

Speaker

Renato Vidal Martins (Universide de Campinas, Brazil)

Description

In this talk, we briefly introduce stability conditions, which we apply to the category of coherent systems on an integral curve $C$.
We define Bridgeland stability conditions on its derived category. We also study the semistability of certain objects with respect to these conditions. We use some results we got to address the problem of finding bounds for the dimension of the space of global sections of torsion-free sheaves on $C$. It's a joint work with Marcos Jardim and Leonardo Roa-Leguizamon.

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