Seminar Algebra and Geometry: Nestor Fernandez Vargas (Montpellier/Rennes)

Geometry of the moduli of parabolic bundles on elliptic curves

We are interested in rank 2 parabolic vector bundles over a 2-punctured elliptic curve C. We will describe the moduli space associated to these objects, and state a Torelli theorem.
The former moduli space is itself related to the moduli space of rank 2 parabolic bundles over a 5-punctured P¹. We will explain this link, recovering at the same time the beautiful geometry of del Pezzo surfaces of degree 4.

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