Olivier Sermam (Nice)

Title: Moduli spaces of orthogonal and symplectic bundles over an algebraic curve

Abstract: We prove that, given a smooth projective curve C, the forgetful morphism from the moduli space of orthogonal (resp. symplectic) bundles to the moduli space of vector bundles over C is an embedding. Our proof relies on an explicit description of a set of generators for the polynomial invariants on the representation space of a quiver under the action of a product of classical groups.