PUBLIC VIVA-VOCE NOTIFICATION
11.30 am, Seminar Hall
On a relative Mumford-Newstead Theorem
Chennai Mathematical Institute.
We will give a brief overview of the moduli space of vector bundles over smooth projective curves/C and explain the classical Mumford-Newstead theorem. Then we demonstrate a relative version of the classical Mumford-Newstead theorem for a family of smooth curves degenerating to a reducible curve with a simple node. We also prove a Torelli-type theorem by showing that certain moduli spaces of torsion-free sheaves on a reducible curve allows us to recover the curve from the moduli space.