#### Alladi Ramakrishnan Hall

#### Certain Vector Bundles over Symmetric Product of Curves

#### Krishanu Dan

##### IMSc

*For a smooth projective curve X over $\mathbb{C}$ and a vector*

bundle E of rank r, there is an associated vector bundle on S^n(X) of rank

nr where S^n(X) denotes the n-th symmetric product of X. We will

investigate some properties of this bundle.

Done