### Jeong-Seop Kim, Stability of Symmetric Powers of Vector Bundles on a Curve

B266 IBS

Speaker Jeong-Seop Kim KAIST For a stable vector bundle E on a smooth projective curve, it is known that the symmetric powers Sk E are semi-stable and are stable for all k > 0 in sufficiently general. Moreover, if E has rank 2, then Sk E is destabilized by a line subbundle if