SIMBa: Moduli spaces of stable vector bundles

Dimecres 28 de febrer se rcelebrarà una xerrada del Seminari Informal de Matemàtiques de Barcelona (SIMBa).

Conferenciant: Irene Macías Tarrío.
Universitat / Institut de recerca: Universitat de Barcelona.

Data: Dimecres, 28 de febrer de 2024.
Hora: 13:00, pausa pel cafè; 13:20, xerrada.
Lloc: UB (aula B3) and Zoom.
Idioma: Anglès.

Títol: Moduli spaces of stable vector bundles.

Resum: Moduli spaces are essential constructions that arise in connection with classification problems. When dealing with vector bundles on a smooth algebraic variety X, the moduli space of stable vector bundles parametrizes isomorphic classes of stable vector bundles. This talk will
start with the definition and construction of this moduli space from the point of view of algebraic geometry. After this there will be an overview of the Brill-Noether Theory, which concerns the study of certain subvarieties of this moduli space in order to know more about its geometry.