### George Hitching, Brill-Noether Loci on Moduli Space of Symplectic Bundles over a Curve

B236-1 IBS, Korea, Republic ofSpeaker George Hitching Oslo Metropolitan University Let C be a smooth projective curve of genus g. The symplectic Brill-Noether locus S(k, 2n, K) parametrises stable bundles of rank 2n over C with at least k independent sections, and which admit a nondegenerate skewsymmetric bilinear form with values in the canonical bundle K. This …