PUBLIC VIVA-VOCE NOTIFICATION 11.30 am, Seminar Hall On a relative Mumford-Newstead Theorem Suratno Basu Chennai Mathematical Institute. 19-07-16 Abstract 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.
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